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Finding the Third Proportional to 21,900.38 and 32,146.88

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Solution

The third proportional to 21,900.38 and 32,146.88 is: 47,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.38 : 32,146.88 = 32,146.88 : x
  2. Step 2: Convert to fraction form
    21,900.38/32,146.88 = 32,146.88/x
  3. Step 3: Cross multiply
    21,900.38x = 32,146.88 × 32,146.88
  4. Step 4: Simplify right side
    21,900.38x = 1,033,421,572.27
  5. Step 5: Solve for x
    x = 1,033,421,572.27/21,900.38
  6. Step 6: Final answer
    x = 47,187.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.