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Finding the Third Proportional to 14,719.50 and 15,934.50

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Solution

The third proportional to 14,719.50 and 15,934.50 is: 17,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.50 : 15,934.50 = 15,934.50 : x
  2. Step 2: Convert to fraction form
    14,719.50/15,934.50 = 15,934.50/x
  3. Step 3: Cross multiply
    14,719.50x = 15,934.50 × 15,934.50
  4. Step 4: Simplify right side
    14,719.50x = 253,908,290.25
  5. Step 5: Solve for x
    x = 253,908,290.25/14,719.50
  6. Step 6: Final answer
    x = 17,249.79

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.