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Finding the Third Proportional to 21,957.75 and 32,877

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Solution

The third proportional to 21,957.75 and 32,877 is: 49,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.75 : 32,877 = 32,877 : x
  2. Step 2: Convert to fraction form
    21,957.75/32,877 = 32,877/x
  3. Step 3: Cross multiply
    21,957.75x = 32,877 × 32,877
  4. Step 4: Simplify right side
    21,957.75x = 1,080,897,129
  5. Step 5: Solve for x
    x = 1,080,897,129/21,957.75
  6. Step 6: Final answer
    x = 49,226.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.