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Finding the Third Proportional to 36,045 and 77,294.25

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Solution

The third proportional to 36,045 and 77,294.25 is: 165,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 77,294.25 = 77,294.25 : x
  2. Step 2: Convert to fraction form
    36,045/77,294.25 = 77,294.25/x
  3. Step 3: Cross multiply
    36,045x = 77,294.25 × 77,294.25
  4. Step 4: Simplify right side
    36,045x = 5,974,401,083.06
  5. Step 5: Solve for x
    x = 5,974,401,083.06/36,045
  6. Step 6: Final answer
    x = 165,748.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.