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Finding the Third Proportional to 21,528.84 and 31,442.72

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Solution

The third proportional to 21,528.84 and 31,442.72 is: 45,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.84 : 31,442.72 = 31,442.72 : x
  2. Step 2: Convert to fraction form
    21,528.84/31,442.72 = 31,442.72/x
  3. Step 3: Cross multiply
    21,528.84x = 31,442.72 × 31,442.72
  4. Step 4: Simplify right side
    21,528.84x = 988,644,562.39
  5. Step 5: Solve for x
    x = 988,644,562.39/21,528.84
  6. Step 6: Final answer
    x = 45,921.86

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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.