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Finding the Third Proportional to 41,834.25 and 63,731.53

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Solution

The third proportional to 41,834.25 and 63,731.53 is: 97,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834.25 : 63,731.53 = 63,731.53 : x
  2. Step 2: Convert to fraction form
    41,834.25/63,731.53 = 63,731.53/x
  3. Step 3: Cross multiply
    41,834.25x = 63,731.53 × 63,731.53
  4. Step 4: Simplify right side
    41,834.25x = 4,061,708,075.47
  5. Step 5: Solve for x
    x = 4,061,708,075.47/41,834.25
  6. Step 6: Final answer
    x = 97,090.50

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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.