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Finding the Third Proportional to 13,072.88 and 28,708.13

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Solution

The third proportional to 13,072.88 and 28,708.13 is: 63,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.88 : 28,708.13 = 28,708.13 : x
  2. Step 2: Convert to fraction form
    13,072.88/28,708.13 = 28,708.13/x
  3. Step 3: Cross multiply
    13,072.88x = 28,708.13 × 28,708.13
  4. Step 4: Simplify right side
    13,072.88x = 824,156,441.02
  5. Step 5: Solve for x
    x = 824,156,441.02/13,072.88
  6. Step 6: Final answer
    x = 63,043.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.