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Finding the Third Proportional to 28,448 and 45,448

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Solution

The third proportional to 28,448 and 45,448 is: 72,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,448 : 45,448 = 45,448 : x
  2. Step 2: Convert to fraction form
    28,448/45,448 = 45,448/x
  3. Step 3: Cross multiply
    28,448x = 45,448 × 45,448
  4. Step 4: Simplify right side
    28,448x = 2,065,520,704
  5. Step 5: Solve for x
    x = 2,065,520,704/28,448
  6. Step 6: Final answer
    x = 72,606.89

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.