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Finding the Third Proportional to 41,499 and 63,463.50

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Solution

The third proportional to 41,499 and 63,463.50 is: 97,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,499 : 63,463.50 = 63,463.50 : x
  2. Step 2: Convert to fraction form
    41,499/63,463.50 = 63,463.50/x
  3. Step 3: Cross multiply
    41,499x = 63,463.50 × 63,463.50
  4. Step 4: Simplify right side
    41,499x = 4,027,615,832.25
  5. Step 5: Solve for x
    x = 4,027,615,832.25/41,499
  6. Step 6: Final answer
    x = 97,053.32

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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.