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Finding the Third Proportional to 32,988 and 77,794

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Solution

The third proportional to 32,988 and 77,794 is: 183,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 77,794 = 77,794 : x
  2. Step 2: Convert to fraction form
    32,988/77,794 = 77,794/x
  3. Step 3: Cross multiply
    32,988x = 77,794 × 77,794
  4. Step 4: Simplify right side
    32,988x = 6,051,906,436
  5. Step 5: Solve for x
    x = 6,051,906,436/32,988
  6. Step 6: Final answer
    x = 183,457.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.