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Finding the Third Proportional to 35,541 and 74,769

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Solution

The third proportional to 35,541 and 74,769 is: 157,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,541 : 74,769 = 74,769 : x
  2. Step 2: Convert to fraction form
    35,541/74,769 = 74,769/x
  3. Step 3: Cross multiply
    35,541x = 74,769 × 74,769
  4. Step 4: Simplify right side
    35,541x = 5,590,403,361
  5. Step 5: Solve for x
    x = 5,590,403,361/35,541
  6. Step 6: Final answer
    x = 157,294.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.