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Finding the Third Proportional to 20,062.50 and 31,048.13

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Solution

The third proportional to 20,062.50 and 31,048.13 is: 48,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.50 : 31,048.13 = 31,048.13 : x
  2. Step 2: Convert to fraction form
    20,062.50/31,048.13 = 31,048.13/x
  3. Step 3: Cross multiply
    20,062.50x = 31,048.13 × 31,048.13
  4. Step 4: Simplify right side
    20,062.50x = 963,986,066.02
  5. Step 5: Solve for x
    x = 963,986,066.02/20,062.50
  6. Step 6: Final answer
    x = 48,049.15

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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.