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Finding the Third Proportional to 28,409 and 42,505

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Solution

The third proportional to 28,409 and 42,505 is: 63,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,409 : 42,505 = 42,505 : x
  2. Step 2: Convert to fraction form
    28,409/42,505 = 42,505/x
  3. Step 3: Cross multiply
    28,409x = 42,505 × 42,505
  4. Step 4: Simplify right side
    28,409x = 1,806,675,025
  5. Step 5: Solve for x
    x = 1,806,675,025/28,409
  6. Step 6: Final answer
    x = 63,595.16

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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.