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Finding the Third Proportional to 32,982 and 49,473

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Solution

The third proportional to 32,982 and 49,473 is: 74,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982 : 49,473 = 49,473 : x
  2. Step 2: Convert to fraction form
    32,982/49,473 = 49,473/x
  3. Step 3: Cross multiply
    32,982x = 49,473 × 49,473
  4. Step 4: Simplify right side
    32,982x = 2,447,577,729
  5. Step 5: Solve for x
    x = 2,447,577,729/32,982
  6. Step 6: Final answer
    x = 74,209.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.