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Finding the Third Proportional to 7,683 and 8,776.50

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Solution

The third proportional to 7,683 and 8,776.50 is: 10,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683 : 8,776.50 = 8,776.50 : x
  2. Step 2: Convert to fraction form
    7,683/8,776.50 = 8,776.50/x
  3. Step 3: Cross multiply
    7,683x = 8,776.50 × 8,776.50
  4. Step 4: Simplify right side
    7,683x = 77,026,952.25
  5. Step 5: Solve for x
    x = 77,026,952.25/7,683
  6. Step 6: Final answer
    x = 10,025.63

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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.