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Finding the Third Proportional to 10,237.50 and 13,897.13

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Solution

The third proportional to 10,237.50 and 13,897.13 is: 18,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.50 : 13,897.13 = 13,897.13 : x
  2. Step 2: Convert to fraction form
    10,237.50/13,897.13 = 13,897.13/x
  3. Step 3: Cross multiply
    10,237.50x = 13,897.13 × 13,897.13
  4. Step 4: Simplify right side
    10,237.50x = 193,130,083.27
  5. Step 5: Solve for x
    x = 193,130,083.27/10,237.50
  6. Step 6: Final answer
    x = 18,864.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.