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Finding the Third Proportional to 32,930.30 and 77,661.28

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Solution

The third proportional to 32,930.30 and 77,661.28 is: 183,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930.30 : 77,661.28 = 77,661.28 : x
  2. Step 2: Convert to fraction form
    32,930.30/77,661.28 = 77,661.28/x
  3. Step 3: Cross multiply
    32,930.30x = 77,661.28 × 77,661.28
  4. Step 4: Simplify right side
    32,930.30x = 6,031,274,605.39
  5. Step 5: Solve for x
    x = 6,031,274,605.39/32,930.30
  6. Step 6: Final answer
    x = 183,152.76

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