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Finding the Third Proportional to 24,315.75 and 31,065.75

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Solution

The third proportional to 24,315.75 and 31,065.75 is: 39,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.75 : 31,065.75 = 31,065.75 : x
  2. Step 2: Convert to fraction form
    24,315.75/31,065.75 = 31,065.75/x
  3. Step 3: Cross multiply
    24,315.75x = 31,065.75 × 31,065.75
  4. Step 4: Simplify right side
    24,315.75x = 965,080,823.06
  5. Step 5: Solve for x
    x = 965,080,823.06/24,315.75
  6. Step 6: Final answer
    x = 39,689.54

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.