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Finding the Third Proportional to 27,223.59 and 59,705.86

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Solution

The third proportional to 27,223.59 and 59,705.86 is: 130,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.59 : 59,705.86 = 59,705.86 : x
  2. Step 2: Convert to fraction form
    27,223.59/59,705.86 = 59,705.86/x
  3. Step 3: Cross multiply
    27,223.59x = 59,705.86 × 59,705.86
  4. Step 4: Simplify right side
    27,223.59x = 3,564,789,643.71
  5. Step 5: Solve for x
    x = 3,564,789,643.71/27,223.59
  6. Step 6: Final answer
    x = 130,944.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.