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Finding the Third Proportional to 31,716 and 45,304

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Solution

The third proportional to 31,716 and 45,304 is: 64,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716 : 45,304 = 45,304 : x
  2. Step 2: Convert to fraction form
    31,716/45,304 = 45,304/x
  3. Step 3: Cross multiply
    31,716x = 45,304 × 45,304
  4. Step 4: Simplify right side
    31,716x = 2,052,452,416
  5. Step 5: Solve for x
    x = 2,052,452,416/31,716
  6. Step 6: Final answer
    x = 64,713.47

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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.