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Finding the Third Proportional to 31,317.50 and 48,471.50

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Solution

The third proportional to 31,317.50 and 48,471.50 is: 75,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,317.50 : 48,471.50 = 48,471.50 : x
  2. Step 2: Convert to fraction form
    31,317.50/48,471.50 = 48,471.50/x
  3. Step 3: Cross multiply
    31,317.50x = 48,471.50 × 48,471.50
  4. Step 4: Simplify right side
    31,317.50x = 2,349,486,312.25
  5. Step 5: Solve for x
    x = 2,349,486,312.25/31,317.50
  6. Step 6: Final answer
    x = 75,021.52

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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.