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Finding the Third Proportional to 14,639 and 31,582

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Solution

The third proportional to 14,639 and 31,582 is: 68,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,639 : 31,582 = 31,582 : x
  2. Step 2: Convert to fraction form
    14,639/31,582 = 31,582/x
  3. Step 3: Cross multiply
    14,639x = 31,582 × 31,582
  4. Step 4: Simplify right side
    14,639x = 997,422,724
  5. Step 5: Solve for x
    x = 997,422,724/14,639
  6. Step 6: Final answer
    x = 68,134.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.