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Finding the Third Proportional to 7,718.63 and 10,631.25

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Solution

The third proportional to 7,718.63 and 10,631.25 is: 14,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.63 : 10,631.25 = 10,631.25 : x
  2. Step 2: Convert to fraction form
    7,718.63/10,631.25 = 10,631.25/x
  3. Step 3: Cross multiply
    7,718.63x = 10,631.25 × 10,631.25
  4. Step 4: Simplify right side
    7,718.63x = 113,023,476.56
  5. Step 5: Solve for x
    x = 113,023,476.56/7,718.63
  6. Step 6: Final answer
    x = 14,642.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.