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Finding the Third Proportional to 35,926 and 77,588

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Solution

The third proportional to 35,926 and 77,588 is: 167,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,926 : 77,588 = 77,588 : x
  2. Step 2: Convert to fraction form
    35,926/77,588 = 77,588/x
  3. Step 3: Cross multiply
    35,926x = 77,588 × 77,588
  4. Step 4: Simplify right side
    35,926x = 6,019,897,744
  5. Step 5: Solve for x
    x = 6,019,897,744/35,926
  6. Step 6: Final answer
    x = 167,563.82

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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.