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Finding the Third Proportional to 35,957.75 and 55,830

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Solution

The third proportional to 35,957.75 and 55,830 is: 86,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,957.75 : 55,830 = 55,830 : x
  2. Step 2: Convert to fraction form
    35,957.75/55,830 = 55,830/x
  3. Step 3: Cross multiply
    35,957.75x = 55,830 × 55,830
  4. Step 4: Simplify right side
    35,957.75x = 3,116,988,900
  5. Step 5: Solve for x
    x = 3,116,988,900/35,957.75
  6. Step 6: Final answer
    x = 86,684.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.