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Finding the Third Proportional to 31,584 and 67,545

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Solution

The third proportional to 31,584 and 67,545 is: 144,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584 : 67,545 = 67,545 : x
  2. Step 2: Convert to fraction form
    31,584/67,545 = 67,545/x
  3. Step 3: Cross multiply
    31,584x = 67,545 × 67,545
  4. Step 4: Simplify right side
    31,584x = 4,562,327,025
  5. Step 5: Solve for x
    x = 4,562,327,025/31,584
  6. Step 6: Final answer
    x = 144,450.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.