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Finding the Third Proportional to 7,806 and 10,554

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Solution

The third proportional to 7,806 and 10,554 is: 14,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 10,554 = 10,554 : x
  2. Step 2: Convert to fraction form
    7,806/10,554 = 10,554/x
  3. Step 3: Cross multiply
    7,806x = 10,554 × 10,554
  4. Step 4: Simplify right side
    7,806x = 111,386,916
  5. Step 5: Solve for x
    x = 111,386,916/7,806
  6. Step 6: Final answer
    x = 14,269.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.