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Finding the Third Proportional to 32,979 and 77,773

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Solution

The third proportional to 32,979 and 77,773 is: 183,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,979 : 77,773 = 77,773 : x
  2. Step 2: Convert to fraction form
    32,979/77,773 = 77,773/x
  3. Step 3: Cross multiply
    32,979x = 77,773 × 77,773
  4. Step 4: Simplify right side
    32,979x = 6,048,639,529
  5. Step 5: Solve for x
    x = 6,048,639,529/32,979
  6. Step 6: Final answer
    x = 183,408.82

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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.