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Finding the Third Proportional to 31,040 and 44,332

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Solution

The third proportional to 31,040 and 44,332 is: 63,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040 : 44,332 = 44,332 : x
  2. Step 2: Convert to fraction form
    31,040/44,332 = 44,332/x
  3. Step 3: Cross multiply
    31,040x = 44,332 × 44,332
  4. Step 4: Simplify right side
    31,040x = 1,965,326,224
  5. Step 5: Solve for x
    x = 1,965,326,224/31,040
  6. Step 6: Final answer
    x = 63,315.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.