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Finding the Third Proportional to 10,822.50 and 22,510.88

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Solution

The third proportional to 10,822.50 and 22,510.88 is: 46,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.50 : 22,510.88 = 22,510.88 : x
  2. Step 2: Convert to fraction form
    10,822.50/22,510.88 = 22,510.88/x
  3. Step 3: Cross multiply
    10,822.50x = 22,510.88 × 22,510.88
  4. Step 4: Simplify right side
    10,822.50x = 506,739,493.27
  5. Step 5: Solve for x
    x = 506,739,493.27/10,822.50
  6. Step 6: Final answer
    x = 46,822.78

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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.