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Finding the Third Proportional to 12,969 and 14,785

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Solution

The third proportional to 12,969 and 14,785 is: 16,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 14,785 = 14,785 : x
  2. Step 2: Convert to fraction form
    12,969/14,785 = 14,785/x
  3. Step 3: Cross multiply
    12,969x = 14,785 × 14,785
  4. Step 4: Simplify right side
    12,969x = 218,596,225
  5. Step 5: Solve for x
    x = 218,596,225/12,969
  6. Step 6: Final answer
    x = 16,855.29

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.