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Finding the Third Proportional to 12,249 and 14,409

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Solution

The third proportional to 12,249 and 14,409 is: 16,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249 : 14,409 = 14,409 : x
  2. Step 2: Convert to fraction form
    12,249/14,409 = 14,409/x
  3. Step 3: Cross multiply
    12,249x = 14,409 × 14,409
  4. Step 4: Simplify right side
    12,249x = 207,619,281
  5. Step 5: Solve for x
    x = 207,619,281/12,249
  6. Step 6: Final answer
    x = 16,949.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.