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Finding the Third Proportional to 8,904.38 and 13,897.13

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Solution

The third proportional to 8,904.38 and 13,897.13 is: 21,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.38 : 13,897.13 = 13,897.13 : x
  2. Step 2: Convert to fraction form
    8,904.38/13,897.13 = 13,897.13/x
  3. Step 3: Cross multiply
    8,904.38x = 13,897.13 × 13,897.13
  4. Step 4: Simplify right side
    8,904.38x = 193,130,083.27
  5. Step 5: Solve for x
    x = 193,130,083.27/8,904.38
  6. Step 6: Final answer
    x = 21,689.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.