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Finding the Third Proportional to 27,417 and 59,792

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Solution

The third proportional to 27,417 and 59,792 is: 130,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 59,792 = 59,792 : x
  2. Step 2: Convert to fraction form
    27,417/59,792 = 59,792/x
  3. Step 3: Cross multiply
    27,417x = 59,792 × 59,792
  4. Step 4: Simplify right side
    27,417x = 3,575,083,264
  5. Step 5: Solve for x
    x = 3,575,083,264/27,417
  6. Step 6: Final answer
    x = 130,396.59

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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.