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Finding the Third Proportional to 35,777 and 56,638.25

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Solution

The third proportional to 35,777 and 56,638.25 is: 89,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,777 : 56,638.25 = 56,638.25 : x
  2. Step 2: Convert to fraction form
    35,777/56,638.25 = 56,638.25/x
  3. Step 3: Cross multiply
    35,777x = 56,638.25 × 56,638.25
  4. Step 4: Simplify right side
    35,777x = 3,207,891,363.06
  5. Step 5: Solve for x
    x = 3,207,891,363.06/35,777
  6. Step 6: Final answer
    x = 89,663.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.