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Finding the Third Proportional to 45,613.13 and 70,343.44

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Solution

The third proportional to 45,613.13 and 70,343.44 is: 108,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,613.13 : 70,343.44 = 70,343.44 : x
  2. Step 2: Convert to fraction form
    45,613.13/70,343.44 = 70,343.44/x
  3. Step 3: Cross multiply
    45,613.13x = 70,343.44 × 70,343.44
  4. Step 4: Simplify right side
    45,613.13x = 4,948,199,199.32
  5. Step 5: Solve for x
    x = 4,948,199,199.32/45,613.13
  6. Step 6: Final answer
    x = 108,481.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.