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Finding the Third Proportional to 23,897.53 and 48,615.19

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Solution

The third proportional to 23,897.53 and 48,615.19 is: 98,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.53 : 48,615.19 = 48,615.19 : x
  2. Step 2: Convert to fraction form
    23,897.53/48,615.19 = 48,615.19/x
  3. Step 3: Cross multiply
    23,897.53x = 48,615.19 × 48,615.19
  4. Step 4: Simplify right side
    23,897.53x = 2,363,436,455.66
  5. Step 5: Solve for x
    x = 2,363,436,455.66/23,897.53
  6. Step 6: Final answer
    x = 98,898.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.