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Finding the Third Proportional to 10,428.75 and 14,806.13

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Solution

The third proportional to 10,428.75 and 14,806.13 is: 21,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.75 : 14,806.13 = 14,806.13 : x
  2. Step 2: Convert to fraction form
    10,428.75/14,806.13 = 14,806.13/x
  3. Step 3: Cross multiply
    10,428.75x = 14,806.13 × 14,806.13
  4. Step 4: Simplify right side
    10,428.75x = 219,221,337.52
  5. Step 5: Solve for x
    x = 219,221,337.52/10,428.75
  6. Step 6: Final answer
    x = 21,020.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.