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Finding the Third Proportional to 28,500 and 42,765

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Solution

The third proportional to 28,500 and 42,765 is: 64,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,500 : 42,765 = 42,765 : x
  2. Step 2: Convert to fraction form
    28,500/42,765 = 42,765/x
  3. Step 3: Cross multiply
    28,500x = 42,765 × 42,765
  4. Step 4: Simplify right side
    28,500x = 1,828,845,225
  5. Step 5: Solve for x
    x = 1,828,845,225/28,500
  6. Step 6: Final answer
    x = 64,170.01

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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.