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Finding the Third Proportional to 20,061.84 and 31,047.47

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Solution

The third proportional to 20,061.84 and 31,047.47 is: 48,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061.84 : 31,047.47 = 31,047.47 : x
  2. Step 2: Convert to fraction form
    20,061.84/31,047.47 = 31,047.47/x
  3. Step 3: Cross multiply
    20,061.84x = 31,047.47 × 31,047.47
  4. Step 4: Simplify right side
    20,061.84x = 963,945,315.78
  5. Step 5: Solve for x
    x = 963,945,315.78/20,061.84
  6. Step 6: Final answer
    x = 48,048.69

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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.