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Finding the Third Proportional to 22,278.38 and 29,696.63

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Solution

The third proportional to 22,278.38 and 29,696.63 is: 39,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.38 : 29,696.63 = 29,696.63 : x
  2. Step 2: Convert to fraction form
    22,278.38/29,696.63 = 29,696.63/x
  3. Step 3: Cross multiply
    22,278.38x = 29,696.63 × 29,696.63
  4. Step 4: Simplify right side
    22,278.38x = 881,889,536.39
  5. Step 5: Solve for x
    x = 881,889,536.39/22,278.38
  6. Step 6: Final answer
    x = 39,585.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.