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Finding the Third Proportional to 13,532.06 and 30,139.59

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Solution

The third proportional to 13,532.06 and 30,139.59 is: 67,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.06 : 30,139.59 = 30,139.59 : x
  2. Step 2: Convert to fraction form
    13,532.06/30,139.59 = 30,139.59/x
  3. Step 3: Cross multiply
    13,532.06x = 30,139.59 × 30,139.59
  4. Step 4: Simplify right side
    13,532.06x = 908,395,111.42
  5. Step 5: Solve for x
    x = 908,395,111.42/13,532.06
  6. Step 6: Final answer
    x = 67,129.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.