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Finding the Third Proportional to 23,697 and 54,859.50

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Solution

The third proportional to 23,697 and 54,859.50 is: 127,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697 : 54,859.50 = 54,859.50 : x
  2. Step 2: Convert to fraction form
    23,697/54,859.50 = 54,859.50/x
  3. Step 3: Cross multiply
    23,697x = 54,859.50 × 54,859.50
  4. Step 4: Simplify right side
    23,697x = 3,009,564,740.25
  5. Step 5: Solve for x
    x = 3,009,564,740.25/23,697
  6. Step 6: Final answer
    x = 127,001.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.