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Finding the Third Proportional to 32,034 and 47,789

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Solution

The third proportional to 32,034 and 47,789 is: 71,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034 : 47,789 = 47,789 : x
  2. Step 2: Convert to fraction form
    32,034/47,789 = 47,789/x
  3. Step 3: Cross multiply
    32,034x = 47,789 × 47,789
  4. Step 4: Simplify right side
    32,034x = 2,283,788,521
  5. Step 5: Solve for x
    x = 2,283,788,521/32,034
  6. Step 6: Final answer
    x = 71,292.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.