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Finding the Third Proportional to 23,178.66 and 31,486.22

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Solution

The third proportional to 23,178.66 and 31,486.22 is: 42,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.66 : 31,486.22 = 31,486.22 : x
  2. Step 2: Convert to fraction form
    23,178.66/31,486.22 = 31,486.22/x
  3. Step 3: Cross multiply
    23,178.66x = 31,486.22 × 31,486.22
  4. Step 4: Simplify right side
    23,178.66x = 991,381,971.17
  5. Step 5: Solve for x
    x = 991,381,971.17/23,178.66
  6. Step 6: Final answer
    x = 42,771.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.