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Finding the Third Proportional to 32,473 and 49,180

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Solution

The third proportional to 32,473 and 49,180 is: 74,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473 : 49,180 = 49,180 : x
  2. Step 2: Convert to fraction form
    32,473/49,180 = 49,180/x
  3. Step 3: Cross multiply
    32,473x = 49,180 × 49,180
  4. Step 4: Simplify right side
    32,473x = 2,418,672,400
  5. Step 5: Solve for x
    x = 2,418,672,400/32,473
  6. Step 6: Final answer
    x = 74,482.57

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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.