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Finding the Third Proportional to 16,776 and 36,284

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Solution

The third proportional to 16,776 and 36,284 is: 78,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776 : 36,284 = 36,284 : x
  2. Step 2: Convert to fraction form
    16,776/36,284 = 36,284/x
  3. Step 3: Cross multiply
    16,776x = 36,284 × 36,284
  4. Step 4: Simplify right side
    16,776x = 1,316,528,656
  5. Step 5: Solve for x
    x = 1,316,528,656/16,776
  6. Step 6: Final answer
    x = 78,476.91

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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.