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Finding the Third Proportional to 38,526 and 57,633

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Solution

The third proportional to 38,526 and 57,633 is: 86,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,526 : 57,633 = 57,633 : x
  2. Step 2: Convert to fraction form
    38,526/57,633 = 57,633/x
  3. Step 3: Cross multiply
    38,526x = 57,633 × 57,633
  4. Step 4: Simplify right side
    38,526x = 3,321,562,689
  5. Step 5: Solve for x
    x = 3,321,562,689/38,526
  6. Step 6: Final answer
    x = 86,216.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.