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Finding the Third Proportional to 39,853.50 and 59,703

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Solution

The third proportional to 39,853.50 and 59,703 is: 89,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,853.50 : 59,703 = 59,703 : x
  2. Step 2: Convert to fraction form
    39,853.50/59,703 = 59,703/x
  3. Step 3: Cross multiply
    39,853.50x = 59,703 × 59,703
  4. Step 4: Simplify right side
    39,853.50x = 3,564,448,209
  5. Step 5: Solve for x
    x = 3,564,448,209/39,853.50
  6. Step 6: Final answer
    x = 89,438.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.