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Finding the Third Proportional to 14,536 and 31,712

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Solution

The third proportional to 14,536 and 31,712 is: 69,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536 : 31,712 = 31,712 : x
  2. Step 2: Convert to fraction form
    14,536/31,712 = 31,712/x
  3. Step 3: Cross multiply
    14,536x = 31,712 × 31,712
  4. Step 4: Simplify right side
    14,536x = 1,005,650,944
  5. Step 5: Solve for x
    x = 1,005,650,944/14,536
  6. Step 6: Final answer
    x = 69,183.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.