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Finding the Third Proportional to 13,248 and 28,029.66

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Solution

The third proportional to 13,248 and 28,029.66 is: 59,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 28,029.66 = 28,029.66 : x
  2. Step 2: Convert to fraction form
    13,248/28,029.66 = 28,029.66/x
  3. Step 3: Cross multiply
    13,248x = 28,029.66 × 28,029.66
  4. Step 4: Simplify right side
    13,248x = 785,661,629.49
  5. Step 5: Solve for x
    x = 785,661,629.49/13,248
  6. Step 6: Final answer
    x = 59,304.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.