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Finding the Third Proportional to 8,070 and 8,806

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Solution

The third proportional to 8,070 and 8,806 is: 9,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 8,806 = 8,806 : x
  2. Step 2: Convert to fraction form
    8,070/8,806 = 8,806/x
  3. Step 3: Cross multiply
    8,070x = 8,806 × 8,806
  4. Step 4: Simplify right side
    8,070x = 77,545,636
  5. Step 5: Solve for x
    x = 77,545,636/8,070
  6. Step 6: Final answer
    x = 9,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.