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Finding the Third Proportional to 13,250.14 and 28,332.76

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Solution

The third proportional to 13,250.14 and 28,332.76 is: 60,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.14 : 28,332.76 = 28,332.76 : x
  2. Step 2: Convert to fraction form
    13,250.14/28,332.76 = 28,332.76/x
  3. Step 3: Cross multiply
    13,250.14x = 28,332.76 × 28,332.76
  4. Step 4: Simplify right side
    13,250.14x = 802,745,054.59
  5. Step 5: Solve for x
    x = 802,745,054.59/13,250.14
  6. Step 6: Final answer
    x = 60,583.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.