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Finding the Third Proportional to 3,459.90 and 4,574.76

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Solution

The third proportional to 3,459.90 and 4,574.76 is: 6,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.90 : 4,574.76 = 4,574.76 : x
  2. Step 2: Convert to fraction form
    3,459.90/4,574.76 = 4,574.76/x
  3. Step 3: Cross multiply
    3,459.90x = 4,574.76 × 4,574.76
  4. Step 4: Simplify right side
    3,459.90x = 20,928,426.91
  5. Step 5: Solve for x
    x = 20,928,426.91/3,459.90
  6. Step 6: Final answer
    x = 6,048.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.