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Finding the Third Proportional to 24,339 and 35,551.13

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Solution

The third proportional to 24,339 and 35,551.13 is: 51,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339 : 35,551.13 = 35,551.13 : x
  2. Step 2: Convert to fraction form
    24,339/35,551.13 = 35,551.13/x
  3. Step 3: Cross multiply
    24,339x = 35,551.13 × 35,551.13
  4. Step 4: Simplify right side
    24,339x = 1,263,882,488.77
  5. Step 5: Solve for x
    x = 1,263,882,488.77/24,339
  6. Step 6: Final answer
    x = 51,928.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.