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Finding the Third Proportional to 22,681.13 and 24,382.13

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Solution

The third proportional to 22,681.13 and 24,382.13 is: 26,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.13 : 24,382.13 = 24,382.13 : x
  2. Step 2: Convert to fraction form
    22,681.13/24,382.13 = 24,382.13/x
  3. Step 3: Cross multiply
    22,681.13x = 24,382.13 × 24,382.13
  4. Step 4: Simplify right side
    22,681.13x = 594,488,019.52
  5. Step 5: Solve for x
    x = 594,488,019.52/22,681.13
  6. Step 6: Final answer
    x = 26,210.69

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.