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Finding the Third Proportional to 16,416 and 35,424

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Solution

The third proportional to 16,416 and 35,424 is: 76,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416 : 35,424 = 35,424 : x
  2. Step 2: Convert to fraction form
    16,416/35,424 = 35,424/x
  3. Step 3: Cross multiply
    16,416x = 35,424 × 35,424
  4. Step 4: Simplify right side
    16,416x = 1,254,859,776
  5. Step 5: Solve for x
    x = 1,254,859,776/16,416
  6. Step 6: Final answer
    x = 76,441.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.