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Finding the Third Proportional to 27,521.25 and 43,737

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Solution

The third proportional to 27,521.25 and 43,737 is: 69,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,521.25 : 43,737 = 43,737 : x
  2. Step 2: Convert to fraction form
    27,521.25/43,737 = 43,737/x
  3. Step 3: Cross multiply
    27,521.25x = 43,737 × 43,737
  4. Step 4: Simplify right side
    27,521.25x = 1,912,925,169
  5. Step 5: Solve for x
    x = 1,912,925,169/27,521.25
  6. Step 6: Final answer
    x = 69,507.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.