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Finding the Third Proportional to 23,152.13 and 34,591.13

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Solution

The third proportional to 23,152.13 and 34,591.13 is: 51,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.13 : 34,591.13 = 34,591.13 : x
  2. Step 2: Convert to fraction form
    23,152.13/34,591.13 = 34,591.13/x
  3. Step 3: Cross multiply
    23,152.13x = 34,591.13 × 34,591.13
  4. Step 4: Simplify right side
    23,152.13x = 1,196,545,928.77
  5. Step 5: Solve for x
    x = 1,196,545,928.77/23,152.13
  6. Step 6: Final answer
    x = 51,681.91

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Why These Related Problems?

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