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Finding the Third Proportional to 45,357.47 and 70,375.08

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Solution

The third proportional to 45,357.47 and 70,375.08 is: 109,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,357.47 : 70,375.08 = 70,375.08 : x
  2. Step 2: Convert to fraction form
    45,357.47/70,375.08 = 70,375.08/x
  3. Step 3: Cross multiply
    45,357.47x = 70,375.08 × 70,375.08
  4. Step 4: Simplify right side
    45,357.47x = 4,952,651,621.10
  5. Step 5: Solve for x
    x = 4,952,651,621.10/45,357.47
  6. Step 6: Final answer
    x = 109,191.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.