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Finding the Third Proportional to 35,969 and 78,497

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Solution

The third proportional to 35,969 and 78,497 is: 171,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969 : 78,497 = 78,497 : x
  2. Step 2: Convert to fraction form
    35,969/78,497 = 78,497/x
  3. Step 3: Cross multiply
    35,969x = 78,497 × 78,497
  4. Step 4: Simplify right side
    35,969x = 6,161,779,009
  5. Step 5: Solve for x
    x = 6,161,779,009/35,969
  6. Step 6: Final answer
    x = 171,308.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.