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Finding the Third Proportional to 2,605.92 and 4,031.65

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Solution

The third proportional to 2,605.92 and 4,031.65 is: 6,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.92 : 4,031.65 = 4,031.65 : x
  2. Step 2: Convert to fraction form
    2,605.92/4,031.65 = 4,031.65/x
  3. Step 3: Cross multiply
    2,605.92x = 4,031.65 × 4,031.65
  4. Step 4: Simplify right side
    2,605.92x = 16,254,189.12
  5. Step 5: Solve for x
    x = 16,254,189.12/2,605.92
  6. Step 6: Final answer
    x = 6,237.40

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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.