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Finding the Third Proportional to 31,560 and 37,068

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Solution

The third proportional to 31,560 and 37,068 is: 43,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560 : 37,068 = 37,068 : x
  2. Step 2: Convert to fraction form
    31,560/37,068 = 37,068/x
  3. Step 3: Cross multiply
    31,560x = 37,068 × 37,068
  4. Step 4: Simplify right side
    31,560x = 1,374,036,624
  5. Step 5: Solve for x
    x = 1,374,036,624/31,560
  6. Step 6: Final answer
    x = 43,537.28

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.