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Finding the Third Proportional to 28,579 and 38,551.50

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Solution

The third proportional to 28,579 and 38,551.50 is: 52,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,579 : 38,551.50 = 38,551.50 : x
  2. Step 2: Convert to fraction form
    28,579/38,551.50 = 38,551.50/x
  3. Step 3: Cross multiply
    28,579x = 38,551.50 × 38,551.50
  4. Step 4: Simplify right side
    28,579x = 1,486,218,152.25
  5. Step 5: Solve for x
    x = 1,486,218,152.25/28,579
  6. Step 6: Final answer
    x = 52,003.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.