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Finding the Third Proportional to 45,436 and 70,782

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Solution

The third proportional to 45,436 and 70,782 is: 110,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,436 : 70,782 = 70,782 : x
  2. Step 2: Convert to fraction form
    45,436/70,782 = 70,782/x
  3. Step 3: Cross multiply
    45,436x = 70,782 × 70,782
  4. Step 4: Simplify right side
    45,436x = 5,010,091,524
  5. Step 5: Solve for x
    x = 5,010,091,524/45,436
  6. Step 6: Final answer
    x = 110,267.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.