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Finding the Third Proportional to 32,473 and 50,077.50

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Solution

The third proportional to 32,473 and 50,077.50 is: 77,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473 : 50,077.50 = 50,077.50 : x
  2. Step 2: Convert to fraction form
    32,473/50,077.50 = 50,077.50/x
  3. Step 3: Cross multiply
    32,473x = 50,077.50 × 50,077.50
  4. Step 4: Simplify right side
    32,473x = 2,507,756,006.25
  5. Step 5: Solve for x
    x = 2,507,756,006.25/32,473
  6. Step 6: Final answer
    x = 77,225.88

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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.