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Finding the Third Proportional to 12,232 and 14,408

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Solution

The third proportional to 12,232 and 14,408 is: 16,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232 : 14,408 = 14,408 : x
  2. Step 2: Convert to fraction form
    12,232/14,408 = 14,408/x
  3. Step 3: Cross multiply
    12,232x = 14,408 × 14,408
  4. Step 4: Simplify right side
    12,232x = 207,590,464
  5. Step 5: Solve for x
    x = 207,590,464/12,232
  6. Step 6: Final answer
    x = 16,971.10

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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.