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Finding the Third Proportional to 35,034 and 77,842

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Solution

The third proportional to 35,034 and 77,842 is: 172,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,034 : 77,842 = 77,842 : x
  2. Step 2: Convert to fraction form
    35,034/77,842 = 77,842/x
  3. Step 3: Cross multiply
    35,034x = 77,842 × 77,842
  4. Step 4: Simplify right side
    35,034x = 6,059,376,964
  5. Step 5: Solve for x
    x = 6,059,376,964/35,034
  6. Step 6: Final answer
    x = 172,957.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.