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Finding the Third Proportional to 27,022.50 and 63,117

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Solution

The third proportional to 27,022.50 and 63,117 is: 147,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.50 : 63,117 = 63,117 : x
  2. Step 2: Convert to fraction form
    27,022.50/63,117 = 63,117/x
  3. Step 3: Cross multiply
    27,022.50x = 63,117 × 63,117
  4. Step 4: Simplify right side
    27,022.50x = 3,983,755,689
  5. Step 5: Solve for x
    x = 3,983,755,689/27,022.50
  6. Step 6: Final answer
    x = 147,423.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.