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Finding the Third Proportional to 32,065.03 and 49,358.53

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Solution

The third proportional to 32,065.03 and 49,358.53 is: 75,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.03 : 49,358.53 = 49,358.53 : x
  2. Step 2: Convert to fraction form
    32,065.03/49,358.53 = 49,358.53/x
  3. Step 3: Cross multiply
    32,065.03x = 49,358.53 × 49,358.53
  4. Step 4: Simplify right side
    32,065.03x = 2,436,264,607.16
  5. Step 5: Solve for x
    x = 2,436,264,607.16/32,065.03
  6. Step 6: Final answer
    x = 75,978.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.