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Finding the Third Proportional to 31,238 and 45,685

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Solution

The third proportional to 31,238 and 45,685 is: 66,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238 : 45,685 = 45,685 : x
  2. Step 2: Convert to fraction form
    31,238/45,685 = 45,685/x
  3. Step 3: Cross multiply
    31,238x = 45,685 × 45,685
  4. Step 4: Simplify right side
    31,238x = 2,087,119,225
  5. Step 5: Solve for x
    x = 2,087,119,225/31,238
  6. Step 6: Final answer
    x = 66,813.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.