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Finding the Third Proportional to 10,062.98 and 21,855.76

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Solution

The third proportional to 10,062.98 and 21,855.76 is: 47,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.98 : 21,855.76 = 21,855.76 : x
  2. Step 2: Convert to fraction form
    10,062.98/21,855.76 = 21,855.76/x
  3. Step 3: Cross multiply
    10,062.98x = 21,855.76 × 21,855.76
  4. Step 4: Simplify right side
    10,062.98x = 477,674,320.31
  5. Step 5: Solve for x
    x = 477,674,320.31/10,062.98
  6. Step 6: Final answer
    x = 47,468.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.