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Finding the Third Proportional to 9,613.69 and 14,332.78

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Solution

The third proportional to 9,613.69 and 14,332.78 is: 21,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.69 : 14,332.78 = 14,332.78 : x
  2. Step 2: Convert to fraction form
    9,613.69/14,332.78 = 14,332.78/x
  3. Step 3: Cross multiply
    9,613.69x = 14,332.78 × 14,332.78
  4. Step 4: Simplify right side
    9,613.69x = 205,428,618.36
  5. Step 5: Solve for x
    x = 205,428,618.36/9,613.69
  6. Step 6: Final answer
    x = 21,368.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.