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Finding the Third Proportional to 15,197.63 and 23,005.13

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Solution

The third proportional to 15,197.63 and 23,005.13 is: 34,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.63 : 23,005.13 = 23,005.13 : x
  2. Step 2: Convert to fraction form
    15,197.63/23,005.13 = 23,005.13/x
  3. Step 3: Cross multiply
    15,197.63x = 23,005.13 × 23,005.13
  4. Step 4: Simplify right side
    15,197.63x = 529,235,776.27
  5. Step 5: Solve for x
    x = 529,235,776.27/15,197.63
  6. Step 6: Final answer
    x = 34,823.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.