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Finding the Third Proportional to 14,366.81 and 23,068.97

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Solution

The third proportional to 14,366.81 and 23,068.97 is: 37,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.81 : 23,068.97 = 23,068.97 : x
  2. Step 2: Convert to fraction form
    14,366.81/23,068.97 = 23,068.97/x
  3. Step 3: Cross multiply
    14,366.81x = 23,068.97 × 23,068.97
  4. Step 4: Simplify right side
    14,366.81x = 532,177,319.19
  5. Step 5: Solve for x
    x = 532,177,319.19/14,366.81
  6. Step 6: Final answer
    x = 37,042.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.