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Finding the Third Proportional to 35,776.50 and 54,124.50

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Solution

The third proportional to 35,776.50 and 54,124.50 is: 81,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.50 : 54,124.50 = 54,124.50 : x
  2. Step 2: Convert to fraction form
    35,776.50/54,124.50 = 54,124.50/x
  3. Step 3: Cross multiply
    35,776.50x = 54,124.50 × 54,124.50
  4. Step 4: Simplify right side
    35,776.50x = 2,929,461,500.25
  5. Step 5: Solve for x
    x = 2,929,461,500.25/35,776.50
  6. Step 6: Final answer
    x = 81,882.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.