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Finding the Third Proportional to 14,646 and 32,207

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Solution

The third proportional to 14,646 and 32,207 is: 70,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646 : 32,207 = 32,207 : x
  2. Step 2: Convert to fraction form
    14,646/32,207 = 32,207/x
  3. Step 3: Cross multiply
    14,646x = 32,207 × 32,207
  4. Step 4: Simplify right side
    14,646x = 1,037,290,849
  5. Step 5: Solve for x
    x = 1,037,290,849/14,646
  6. Step 6: Final answer
    x = 70,824.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.