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Finding the Third Proportional to 8,679 and 14,326.50

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Solution

The third proportional to 8,679 and 14,326.50 is: 23,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679 : 14,326.50 = 14,326.50 : x
  2. Step 2: Convert to fraction form
    8,679/14,326.50 = 14,326.50/x
  3. Step 3: Cross multiply
    8,679x = 14,326.50 × 14,326.50
  4. Step 4: Simplify right side
    8,679x = 205,248,602.25
  5. Step 5: Solve for x
    x = 205,248,602.25/8,679
  6. Step 6: Final answer
    x = 23,648.88

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.