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Finding the Third Proportional to 35,376 and 76,998

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Solution

The third proportional to 35,376 and 76,998 is: 167,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,376 : 76,998 = 76,998 : x
  2. Step 2: Convert to fraction form
    35,376/76,998 = 76,998/x
  3. Step 3: Cross multiply
    35,376x = 76,998 × 76,998
  4. Step 4: Simplify right side
    35,376x = 5,928,692,004
  5. Step 5: Solve for x
    x = 5,928,692,004/35,376
  6. Step 6: Final answer
    x = 167,590.80

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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.