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Finding the Third Proportional to 32,310 and 43,643

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Solution

The third proportional to 32,310 and 43,643 is: 58,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310 : 43,643 = 43,643 : x
  2. Step 2: Convert to fraction form
    32,310/43,643 = 43,643/x
  3. Step 3: Cross multiply
    32,310x = 43,643 × 43,643
  4. Step 4: Simplify right side
    32,310x = 1,904,711,449
  5. Step 5: Solve for x
    x = 1,904,711,449/32,310
  6. Step 6: Final answer
    x = 58,951.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.