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Finding the Third Proportional to 27,730 and 59,344

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Solution

The third proportional to 27,730 and 59,344 is: 127,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 59,344 = 59,344 : x
  2. Step 2: Convert to fraction form
    27,730/59,344 = 59,344/x
  3. Step 3: Cross multiply
    27,730x = 59,344 × 59,344
  4. Step 4: Simplify right side
    27,730x = 3,521,710,336
  5. Step 5: Solve for x
    x = 3,521,710,336/27,730
  6. Step 6: Final answer
    x = 127,000.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.