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Finding the Third Proportional to 12,969 and 14,319

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Solution

The third proportional to 12,969 and 14,319 is: 15,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 14,319 = 14,319 : x
  2. Step 2: Convert to fraction form
    12,969/14,319 = 14,319/x
  3. Step 3: Cross multiply
    12,969x = 14,319 × 14,319
  4. Step 4: Simplify right side
    12,969x = 205,033,761
  5. Step 5: Solve for x
    x = 205,033,761/12,969
  6. Step 6: Final answer
    x = 15,809.53

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.