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Finding the Third Proportional to 41,632 and 63,484.50

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Solution

The third proportional to 41,632 and 63,484.50 is: 96,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,632 : 63,484.50 = 63,484.50 : x
  2. Step 2: Convert to fraction form
    41,632/63,484.50 = 63,484.50/x
  3. Step 3: Cross multiply
    41,632x = 63,484.50 × 63,484.50
  4. Step 4: Simplify right side
    41,632x = 4,030,281,740.25
  5. Step 5: Solve for x
    x = 4,030,281,740.25/41,632
  6. Step 6: Final answer
    x = 96,807.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.