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Finding the Third Proportional to 21,697.31 and 45,122.63

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Solution

The third proportional to 21,697.31 and 45,122.63 is: 93,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.31 : 45,122.63 = 45,122.63 : x
  2. Step 2: Convert to fraction form
    21,697.31/45,122.63 = 45,122.63/x
  3. Step 3: Cross multiply
    21,697.31x = 45,122.63 × 45,122.63
  4. Step 4: Simplify right side
    21,697.31x = 2,036,051,286.89
  5. Step 5: Solve for x
    x = 2,036,051,286.89/21,697.31
  6. Step 6: Final answer
    x = 93,838.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.