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Finding the Third Proportional to 13,762 and 22,769

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Solution

The third proportional to 13,762 and 22,769 is: 37,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762 : 22,769 = 22,769 : x
  2. Step 2: Convert to fraction form
    13,762/22,769 = 22,769/x
  3. Step 3: Cross multiply
    13,762x = 22,769 × 22,769
  4. Step 4: Simplify right side
    13,762x = 518,427,361
  5. Step 5: Solve for x
    x = 518,427,361/13,762
  6. Step 6: Final answer
    x = 37,670.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.