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Finding the Third Proportional to 31,695 and 44,309

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Solution

The third proportional to 31,695 and 44,309 is: 61,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695 : 44,309 = 44,309 : x
  2. Step 2: Convert to fraction form
    31,695/44,309 = 44,309/x
  3. Step 3: Cross multiply
    31,695x = 44,309 × 44,309
  4. Step 4: Simplify right side
    31,695x = 1,963,287,481
  5. Step 5: Solve for x
    x = 1,963,287,481/31,695
  6. Step 6: Final answer
    x = 61,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.