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Finding the Third Proportional to 16,681 and 35,486

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Solution

The third proportional to 16,681 and 35,486 is: 75,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681 : 35,486 = 35,486 : x
  2. Step 2: Convert to fraction form
    16,681/35,486 = 35,486/x
  3. Step 3: Cross multiply
    16,681x = 35,486 × 35,486
  4. Step 4: Simplify right side
    16,681x = 1,259,256,196
  5. Step 5: Solve for x
    x = 1,259,256,196/16,681
  6. Step 6: Final answer
    x = 75,490.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.