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Finding the Third Proportional to 16,152 and 35,376

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Solution

The third proportional to 16,152 and 35,376 is: 77,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152 : 35,376 = 35,376 : x
  2. Step 2: Convert to fraction form
    16,152/35,376 = 35,376/x
  3. Step 3: Cross multiply
    16,152x = 35,376 × 35,376
  4. Step 4: Simplify right side
    16,152x = 1,251,461,376
  5. Step 5: Solve for x
    x = 1,251,461,376/16,152
  6. Step 6: Final answer
    x = 77,480.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.