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Finding the Third Proportional to 29,952 and 45,882

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Solution

The third proportional to 29,952 and 45,882 is: 70,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 45,882 = 45,882 : x
  2. Step 2: Convert to fraction form
    29,952/45,882 = 45,882/x
  3. Step 3: Cross multiply
    29,952x = 45,882 × 45,882
  4. Step 4: Simplify right side
    29,952x = 2,105,157,924
  5. Step 5: Solve for x
    x = 2,105,157,924/29,952
  6. Step 6: Final answer
    x = 70,284.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.