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Finding the Third Proportional to 24,197.06 and 51,332.06

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Solution

The third proportional to 24,197.06 and 51,332.06 is: 108,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.06 : 51,332.06 = 51,332.06 : x
  2. Step 2: Convert to fraction form
    24,197.06/51,332.06 = 51,332.06/x
  3. Step 3: Cross multiply
    24,197.06x = 51,332.06 × 51,332.06
  4. Step 4: Simplify right side
    24,197.06x = 2,634,980,640.50
  5. Step 5: Solve for x
    x = 2,634,980,640.50/24,197.06
  6. Step 6: Final answer
    x = 108,896.72

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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.