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Finding the Third Proportional to 35,356.50 and 54,264.94

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Solution

The third proportional to 35,356.50 and 54,264.94 is: 83,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,356.50 : 54,264.94 = 54,264.94 : x
  2. Step 2: Convert to fraction form
    35,356.50/54,264.94 = 54,264.94/x
  3. Step 3: Cross multiply
    35,356.50x = 54,264.94 × 54,264.94
  4. Step 4: Simplify right side
    35,356.50x = 2,944,683,441.88
  5. Step 5: Solve for x
    x = 2,944,683,441.88/35,356.50
  6. Step 6: Final answer
    x = 83,285.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.