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Finding the Third Proportional to 45,228.38 and 66,488.34

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Solution

The third proportional to 45,228.38 and 66,488.34 is: 97,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228.38 : 66,488.34 = 66,488.34 : x
  2. Step 2: Convert to fraction form
    45,228.38/66,488.34 = 66,488.34/x
  3. Step 3: Cross multiply
    45,228.38x = 66,488.34 × 66,488.34
  4. Step 4: Simplify right side
    45,228.38x = 4,420,699,854.62
  5. Step 5: Solve for x
    x = 4,420,699,854.62/45,228.38
  6. Step 6: Final answer
    x = 97,741.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.