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Finding the Third Proportional to 14,769 and 31,586

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Solution

The third proportional to 14,769 and 31,586 is: 67,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769 : 31,586 = 31,586 : x
  2. Step 2: Convert to fraction form
    14,769/31,586 = 31,586/x
  3. Step 3: Cross multiply
    14,769x = 31,586 × 31,586
  4. Step 4: Simplify right side
    14,769x = 997,675,396
  5. Step 5: Solve for x
    x = 997,675,396/14,769
  6. Step 6: Final answer
    x = 67,551.99

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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.