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Finding the Third Proportional to 22,740.38 and 48,900.94

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Solution

The third proportional to 22,740.38 and 48,900.94 is: 105,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.38 : 48,900.94 = 48,900.94 : x
  2. Step 2: Convert to fraction form
    22,740.38/48,900.94 = 48,900.94/x
  3. Step 3: Cross multiply
    22,740.38x = 48,900.94 × 48,900.94
  4. Step 4: Simplify right side
    22,740.38x = 2,391,301,688.38
  5. Step 5: Solve for x
    x = 2,391,301,688.38/22,740.38
  6. Step 6: Final answer
    x = 105,156.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.