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Finding the Third Proportional to 2,460.38 and 3,613.68

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Solution

The third proportional to 2,460.38 and 3,613.68 is: 5,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.38 : 3,613.68 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    2,460.38/3,613.68 = 3,613.68/x
  3. Step 3: Cross multiply
    2,460.38x = 3,613.68 × 3,613.68
  4. Step 4: Simplify right side
    2,460.38x = 13,058,652.65
  5. Step 5: Solve for x
    x = 13,058,652.65/2,460.38
  6. Step 6: Final answer
    x = 5,307.59

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