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Finding the Third Proportional to 14,770 and 32,132

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Solution

The third proportional to 14,770 and 32,132 is: 69,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770 : 32,132 = 32,132 : x
  2. Step 2: Convert to fraction form
    14,770/32,132 = 32,132/x
  3. Step 3: Cross multiply
    14,770x = 32,132 × 32,132
  4. Step 4: Simplify right side
    14,770x = 1,032,465,424
  5. Step 5: Solve for x
    x = 1,032,465,424/14,770
  6. Step 6: Final answer
    x = 69,902.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.