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Finding the Third Proportional to 27,027.50 and 59,146

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Solution

The third proportional to 27,027.50 and 59,146 is: 129,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.50 : 59,146 = 59,146 : x
  2. Step 2: Convert to fraction form
    27,027.50/59,146 = 59,146/x
  3. Step 3: Cross multiply
    27,027.50x = 59,146 × 59,146
  4. Step 4: Simplify right side
    27,027.50x = 3,498,249,316
  5. Step 5: Solve for x
    x = 3,498,249,316/27,027.50
  6. Step 6: Final answer
    x = 129,432.96

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Why These Related Problems?

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