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Finding the Third Proportional to 7,261.50 and 13,479

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Solution

The third proportional to 7,261.50 and 13,479 is: 25,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.50 : 13,479 = 13,479 : x
  2. Step 2: Convert to fraction form
    7,261.50/13,479 = 13,479/x
  3. Step 3: Cross multiply
    7,261.50x = 13,479 × 13,479
  4. Step 4: Simplify right side
    7,261.50x = 181,683,441
  5. Step 5: Solve for x
    x = 181,683,441/7,261.50
  6. Step 6: Final answer
    x = 25,020.10

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.