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Finding the Third Proportional to 14,457 and 31,561

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Solution

The third proportional to 14,457 and 31,561 is: 68,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457 : 31,561 = 31,561 : x
  2. Step 2: Convert to fraction form
    14,457/31,561 = 31,561/x
  3. Step 3: Cross multiply
    14,457x = 31,561 × 31,561
  4. Step 4: Simplify right side
    14,457x = 996,096,721
  5. Step 5: Solve for x
    x = 996,096,721/14,457
  6. Step 6: Final answer
    x = 68,900.65

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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.