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Finding the Third Proportional to 22,696.88 and 35,002.13

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Solution

The third proportional to 22,696.88 and 35,002.13 is: 53,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.88 : 35,002.13 = 35,002.13 : x
  2. Step 2: Convert to fraction form
    22,696.88/35,002.13 = 35,002.13/x
  3. Step 3: Cross multiply
    22,696.88x = 35,002.13 × 35,002.13
  4. Step 4: Simplify right side
    22,696.88x = 1,225,148,754.52
  5. Step 5: Solve for x
    x = 1,225,148,754.52/22,696.88
  6. Step 6: Final answer
    x = 53,978.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.