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Finding the Third Proportional to 32,574 and 50,808

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Solution

The third proportional to 32,574 and 50,808 is: 79,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574 : 50,808 = 50,808 : x
  2. Step 2: Convert to fraction form
    32,574/50,808 = 50,808/x
  3. Step 3: Cross multiply
    32,574x = 50,808 × 50,808
  4. Step 4: Simplify right side
    32,574x = 2,581,452,864
  5. Step 5: Solve for x
    x = 2,581,452,864/32,574
  6. Step 6: Final answer
    x = 79,248.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.