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Finding the Third Proportional to 27,470 and 59,140

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Solution

The third proportional to 27,470 and 59,140 is: 127,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470 : 59,140 = 59,140 : x
  2. Step 2: Convert to fraction form
    27,470/59,140 = 59,140/x
  3. Step 3: Cross multiply
    27,470x = 59,140 × 59,140
  4. Step 4: Simplify right side
    27,470x = 3,497,539,600
  5. Step 5: Solve for x
    x = 3,497,539,600/27,470
  6. Step 6: Final answer
    x = 127,322.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.