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Finding the Third Proportional to 12,282.75 and 18,526.13

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Solution

The third proportional to 12,282.75 and 18,526.13 is: 27,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.75 : 18,526.13 = 18,526.13 : x
  2. Step 2: Convert to fraction form
    12,282.75/18,526.13 = 18,526.13/x
  3. Step 3: Cross multiply
    12,282.75x = 18,526.13 × 18,526.13
  4. Step 4: Simplify right side
    12,282.75x = 343,217,307.52
  5. Step 5: Solve for x
    x = 343,217,307.52/12,282.75
  6. Step 6: Final answer
    x = 27,943.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.