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Finding the Third Proportional to 7,701 and 8,808

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Solution

The third proportional to 7,701 and 8,808 is: 10,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701 : 8,808 = 8,808 : x
  2. Step 2: Convert to fraction form
    7,701/8,808 = 8,808/x
  3. Step 3: Cross multiply
    7,701x = 8,808 × 8,808
  4. Step 4: Simplify right side
    7,701x = 77,580,864
  5. Step 5: Solve for x
    x = 77,580,864/7,701
  6. Step 6: Final answer
    x = 10,074.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.