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Finding the Third Proportional to 10,275.75 and 14,298.75

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Solution

The third proportional to 10,275.75 and 14,298.75 is: 19,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.75 : 14,298.75 = 14,298.75 : x
  2. Step 2: Convert to fraction form
    10,275.75/14,298.75 = 14,298.75/x
  3. Step 3: Cross multiply
    10,275.75x = 14,298.75 × 14,298.75
  4. Step 4: Simplify right side
    10,275.75x = 204,454,251.56
  5. Step 5: Solve for x
    x = 204,454,251.56/10,275.75
  6. Step 6: Final answer
    x = 19,896.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.