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Finding the Third Proportional to 8,580 and 14,179.50

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Solution

The third proportional to 8,580 and 14,179.50 is: 23,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 14,179.50 = 14,179.50 : x
  2. Step 2: Convert to fraction form
    8,580/14,179.50 = 14,179.50/x
  3. Step 3: Cross multiply
    8,580x = 14,179.50 × 14,179.50
  4. Step 4: Simplify right side
    8,580x = 201,058,220.25
  5. Step 5: Solve for x
    x = 201,058,220.25/8,580
  6. Step 6: Final answer
    x = 23,433.36

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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.