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Finding the Third Proportional to 42,998.66 and 63,234.11

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Solution

The third proportional to 42,998.66 and 63,234.11 is: 92,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,998.66 : 63,234.11 = 63,234.11 : x
  2. Step 2: Convert to fraction form
    42,998.66/63,234.11 = 63,234.11/x
  3. Step 3: Cross multiply
    42,998.66x = 63,234.11 × 63,234.11
  4. Step 4: Simplify right side
    42,998.66x = 3,998,552,094.43
  5. Step 5: Solve for x
    x = 3,998,552,094.43/42,998.66
  6. Step 6: Final answer
    x = 92,992.48

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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.