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Finding the Third Proportional to 32,070 and 47,763

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Solution

The third proportional to 32,070 and 47,763 is: 71,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070 : 47,763 = 47,763 : x
  2. Step 2: Convert to fraction form
    32,070/47,763 = 47,763/x
  3. Step 3: Cross multiply
    32,070x = 47,763 × 47,763
  4. Step 4: Simplify right side
    32,070x = 2,281,304,169
  5. Step 5: Solve for x
    x = 2,281,304,169/32,070
  6. Step 6: Final answer
    x = 71,135.15

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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.