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Finding the Third Proportional to 35,681.50 and 54,866.50

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Solution

The third proportional to 35,681.50 and 54,866.50 is: 84,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,681.50 : 54,866.50 = 54,866.50 : x
  2. Step 2: Convert to fraction form
    35,681.50/54,866.50 = 54,866.50/x
  3. Step 3: Cross multiply
    35,681.50x = 54,866.50 × 54,866.50
  4. Step 4: Simplify right side
    35,681.50x = 3,010,332,822.25
  5. Step 5: Solve for x
    x = 3,010,332,822.25/35,681.50
  6. Step 6: Final answer
    x = 84,366.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.