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Finding the Third Proportional to 12,981 and 28,240.50

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Solution

The third proportional to 12,981 and 28,240.50 is: 61,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981 : 28,240.50 = 28,240.50 : x
  2. Step 2: Convert to fraction form
    12,981/28,240.50 = 28,240.50/x
  3. Step 3: Cross multiply
    12,981x = 28,240.50 × 28,240.50
  4. Step 4: Simplify right side
    12,981x = 797,525,840.25
  5. Step 5: Solve for x
    x = 797,525,840.25/12,981
  6. Step 6: Final answer
    x = 61,437.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.