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Finding the Third Proportional to 39,465.50 and 60,373

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Solution

The third proportional to 39,465.50 and 60,373 is: 92,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,465.50 : 60,373 = 60,373 : x
  2. Step 2: Convert to fraction form
    39,465.50/60,373 = 60,373/x
  3. Step 3: Cross multiply
    39,465.50x = 60,373 × 60,373
  4. Step 4: Simplify right side
    39,465.50x = 3,644,899,129
  5. Step 5: Solve for x
    x = 3,644,899,129/39,465.50
  6. Step 6: Final answer
    x = 92,356.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.