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Finding the Third Proportional to 41,985 and 63,382.50

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Solution

The third proportional to 41,985 and 63,382.50 is: 95,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,985 : 63,382.50 = 63,382.50 : x
  2. Step 2: Convert to fraction form
    41,985/63,382.50 = 63,382.50/x
  3. Step 3: Cross multiply
    41,985x = 63,382.50 × 63,382.50
  4. Step 4: Simplify right side
    41,985x = 4,017,341,306.25
  5. Step 5: Solve for x
    x = 4,017,341,306.25/41,985
  6. Step 6: Final answer
    x = 95,685.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.