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Finding the Third Proportional to 8,580.50 and 13,298.50

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Solution

The third proportional to 8,580.50 and 13,298.50 is: 20,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.50 : 13,298.50 = 13,298.50 : x
  2. Step 2: Convert to fraction form
    8,580.50/13,298.50 = 13,298.50/x
  3. Step 3: Cross multiply
    8,580.50x = 13,298.50 × 13,298.50
  4. Step 4: Simplify right side
    8,580.50x = 176,850,102.25
  5. Step 5: Solve for x
    x = 176,850,102.25/8,580.50
  6. Step 6: Final answer
    x = 20,610.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.