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Finding the Third Proportional to 13,365 and 14,769

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Solution

The third proportional to 13,365 and 14,769 is: 16,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 14,769 = 14,769 : x
  2. Step 2: Convert to fraction form
    13,365/14,769 = 14,769/x
  3. Step 3: Cross multiply
    13,365x = 14,769 × 14,769
  4. Step 4: Simplify right side
    13,365x = 218,123,361
  5. Step 5: Solve for x
    x = 218,123,361/13,365
  6. Step 6: Final answer
    x = 16,320.49

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.