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Finding the Third Proportional to 4,468.92 and 6,574.29

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Solution

The third proportional to 4,468.92 and 6,574.29 is: 9,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.92 : 6,574.29 = 6,574.29 : x
  2. Step 2: Convert to fraction form
    4,468.92/6,574.29 = 6,574.29/x
  3. Step 3: Cross multiply
    4,468.92x = 6,574.29 × 6,574.29
  4. Step 4: Simplify right side
    4,468.92x = 43,221,276.68
  5. Step 5: Solve for x
    x = 43,221,276.68/4,468.92
  6. Step 6: Final answer
    x = 9,671.52

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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.