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Finding the Third Proportional to 27,360 and 59,712

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Solution

The third proportional to 27,360 and 59,712 is: 130,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,360 : 59,712 = 59,712 : x
  2. Step 2: Convert to fraction form
    27,360/59,712 = 59,712/x
  3. Step 3: Cross multiply
    27,360x = 59,712 × 59,712
  4. Step 4: Simplify right side
    27,360x = 3,565,522,944
  5. Step 5: Solve for x
    x = 3,565,522,944/27,360
  6. Step 6: Final answer
    x = 130,318.82

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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.