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Finding the Third Proportional to 8,275.88 and 12,822.56

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Solution

The third proportional to 8,275.88 and 12,822.56 is: 19,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.88 : 12,822.56 = 12,822.56 : x
  2. Step 2: Convert to fraction form
    8,275.88/12,822.56 = 12,822.56/x
  3. Step 3: Cross multiply
    8,275.88x = 12,822.56 × 12,822.56
  4. Step 4: Simplify right side
    8,275.88x = 164,418,109.07
  5. Step 5: Solve for x
    x = 164,418,109.07/8,275.88
  6. Step 6: Final answer
    x = 19,867.16

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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.