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Finding the Third Proportional to 36,458 and 78,607

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Solution

The third proportional to 36,458 and 78,607 is: 169,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,458 : 78,607 = 78,607 : x
  2. Step 2: Convert to fraction form
    36,458/78,607 = 78,607/x
  3. Step 3: Cross multiply
    36,458x = 78,607 × 78,607
  4. Step 4: Simplify right side
    36,458x = 6,179,060,449
  5. Step 5: Solve for x
    x = 6,179,060,449/36,458
  6. Step 6: Final answer
    x = 169,484.35

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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.