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Finding the Third Proportional to 31,655.81 and 49,001.20

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Solution

The third proportional to 31,655.81 and 49,001.20 is: 75,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.81 : 49,001.20 = 49,001.20 : x
  2. Step 2: Convert to fraction form
    31,655.81/49,001.20 = 49,001.20/x
  3. Step 3: Cross multiply
    31,655.81x = 49,001.20 × 49,001.20
  4. Step 4: Simplify right side
    31,655.81x = 2,401,117,907.70
  5. Step 5: Solve for x
    x = 2,401,117,907.70/31,655.81
  6. Step 6: Final answer
    x = 75,850.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.