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Finding the Third Proportional to 28,570.50 and 42,828.75

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Solution

The third proportional to 28,570.50 and 42,828.75 is: 64,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,570.50 : 42,828.75 = 42,828.75 : x
  2. Step 2: Convert to fraction form
    28,570.50/42,828.75 = 42,828.75/x
  3. Step 3: Cross multiply
    28,570.50x = 42,828.75 × 42,828.75
  4. Step 4: Simplify right side
    28,570.50x = 1,834,301,826.56
  5. Step 5: Solve for x
    x = 1,834,301,826.56/28,570.50
  6. Step 6: Final answer
    x = 64,202.65

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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.