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Finding the Third Proportional to 31,754 and 46,713

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Solution

The third proportional to 31,754 and 46,713 is: 68,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754 : 46,713 = 46,713 : x
  2. Step 2: Convert to fraction form
    31,754/46,713 = 46,713/x
  3. Step 3: Cross multiply
    31,754x = 46,713 × 46,713
  4. Step 4: Simplify right side
    31,754x = 2,182,104,369
  5. Step 5: Solve for x
    x = 2,182,104,369/31,754
  6. Step 6: Final answer
    x = 68,719.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.