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Finding the Third Proportional to 27,712.13 and 59,581.69

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Solution

The third proportional to 27,712.13 and 59,581.69 is: 128,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.13 : 59,581.69 = 59,581.69 : x
  2. Step 2: Convert to fraction form
    27,712.13/59,581.69 = 59,581.69/x
  3. Step 3: Cross multiply
    27,712.13x = 59,581.69 × 59,581.69
  4. Step 4: Simplify right side
    27,712.13x = 3,549,977,485.35
  5. Step 5: Solve for x
    x = 3,549,977,485.35/27,712.13
  6. Step 6: Final answer
    x = 128,101.96

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