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Finding the Third Proportional to 24,576.75 and 35,877

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Solution

The third proportional to 24,576.75 and 35,877 is: 52,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.75 : 35,877 = 35,877 : x
  2. Step 2: Convert to fraction form
    24,576.75/35,877 = 35,877/x
  3. Step 3: Cross multiply
    24,576.75x = 35,877 × 35,877
  4. Step 4: Simplify right side
    24,576.75x = 1,287,159,129
  5. Step 5: Solve for x
    x = 1,287,159,129/24,576.75
  6. Step 6: Final answer
    x = 52,373.04

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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.