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Finding the Third Proportional to 38,696 and 83,776

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Solution

The third proportional to 38,696 and 83,776 is: 181,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696 : 83,776 = 83,776 : x
  2. Step 2: Convert to fraction form
    38,696/83,776 = 83,776/x
  3. Step 3: Cross multiply
    38,696x = 83,776 × 83,776
  4. Step 4: Simplify right side
    38,696x = 7,018,418,176
  5. Step 5: Solve for x
    x = 7,018,418,176/38,696
  6. Step 6: Final answer
    x = 181,373.22

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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.