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Finding the Third Proportional to 24,079.50 and 26,164.13

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Solution

The third proportional to 24,079.50 and 26,164.13 is: 28,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,079.50 : 26,164.13 = 26,164.13 : x
  2. Step 2: Convert to fraction form
    24,079.50/26,164.13 = 26,164.13/x
  3. Step 3: Cross multiply
    24,079.50x = 26,164.13 × 26,164.13
  4. Step 4: Simplify right side
    24,079.50x = 684,561,437.02
  5. Step 5: Solve for x
    x = 684,561,437.02/24,079.50
  6. Step 6: Final answer
    x = 28,429.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.