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Finding the Third Proportional to 16,250 and 35,438

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Solution

The third proportional to 16,250 and 35,438 is: 77,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250 : 35,438 = 35,438 : x
  2. Step 2: Convert to fraction form
    16,250/35,438 = 35,438/x
  3. Step 3: Cross multiply
    16,250x = 35,438 × 35,438
  4. Step 4: Simplify right side
    16,250x = 1,255,851,844
  5. Step 5: Solve for x
    x = 1,255,851,844/16,250
  6. Step 6: Final answer
    x = 77,283.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.