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Finding the Third Proportional to 32,984 and 48,747

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Solution

The third proportional to 32,984 and 48,747 is: 72,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 48,747 = 48,747 : x
  2. Step 2: Convert to fraction form
    32,984/48,747 = 48,747/x
  3. Step 3: Cross multiply
    32,984x = 48,747 × 48,747
  4. Step 4: Simplify right side
    32,984x = 2,376,270,009
  5. Step 5: Solve for x
    x = 2,376,270,009/32,984
  6. Step 6: Final answer
    x = 72,043.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.