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Finding the Third Proportional to 10,801.69 and 23,689.13

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Solution

The third proportional to 10,801.69 and 23,689.13 is: 51,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.69 : 23,689.13 = 23,689.13 : x
  2. Step 2: Convert to fraction form
    10,801.69/23,689.13 = 23,689.13/x
  3. Step 3: Cross multiply
    10,801.69x = 23,689.13 × 23,689.13
  4. Step 4: Simplify right side
    10,801.69x = 561,174,643.27
  5. Step 5: Solve for x
    x = 561,174,643.27/10,801.69
  6. Step 6: Final answer
    x = 51,952.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.