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Finding the Third Proportional to 27,440 and 59,902

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Solution

The third proportional to 27,440 and 59,902 is: 130,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440 : 59,902 = 59,902 : x
  2. Step 2: Convert to fraction form
    27,440/59,902 = 59,902/x
  3. Step 3: Cross multiply
    27,440x = 59,902 × 59,902
  4. Step 4: Simplify right side
    27,440x = 3,588,249,604
  5. Step 5: Solve for x
    x = 3,588,249,604/27,440
  6. Step 6: Final answer
    x = 130,767.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.