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Finding the Third Proportional to 8,548 and 11,502.50

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Solution

The third proportional to 8,548 and 11,502.50 is: 15,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548 : 11,502.50 = 11,502.50 : x
  2. Step 2: Convert to fraction form
    8,548/11,502.50 = 11,502.50/x
  3. Step 3: Cross multiply
    8,548x = 11,502.50 × 11,502.50
  4. Step 4: Simplify right side
    8,548x = 132,307,506.25
  5. Step 5: Solve for x
    x = 132,307,506.25/8,548
  6. Step 6: Final answer
    x = 15,478.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.