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Finding the Third Proportional to 14,200 and 34,416

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Solution

The third proportional to 14,200 and 34,416 is: 83,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200 : 34,416 = 34,416 : x
  2. Step 2: Convert to fraction form
    14,200/34,416 = 34,416/x
  3. Step 3: Cross multiply
    14,200x = 34,416 × 34,416
  4. Step 4: Simplify right side
    14,200x = 1,184,461,056
  5. Step 5: Solve for x
    x = 1,184,461,056/14,200
  6. Step 6: Final answer
    x = 83,412.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.