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Finding the Third Proportional to 4,641.05 and 9,452.95

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Solution

The third proportional to 4,641.05 and 9,452.95 is: 19,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.05 : 9,452.95 = 9,452.95 : x
  2. Step 2: Convert to fraction form
    4,641.05/9,452.95 = 9,452.95/x
  3. Step 3: Cross multiply
    4,641.05x = 9,452.95 × 9,452.95
  4. Step 4: Simplify right side
    4,641.05x = 89,358,322.78
  5. Step 5: Solve for x
    x = 89,358,322.78/4,641.05
  6. Step 6: Final answer
    x = 19,253.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.