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Finding the Third Proportional to 16,464 and 35,312

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Solution

The third proportional to 16,464 and 35,312 is: 75,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 35,312 = 35,312 : x
  2. Step 2: Convert to fraction form
    16,464/35,312 = 35,312/x
  3. Step 3: Cross multiply
    16,464x = 35,312 × 35,312
  4. Step 4: Simplify right side
    16,464x = 1,246,937,344
  5. Step 5: Solve for x
    x = 1,246,937,344/16,464
  6. Step 6: Final answer
    x = 75,737.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.