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Finding the Third Proportional to 28,820 and 45,112

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Solution

The third proportional to 28,820 and 45,112 is: 70,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,820 : 45,112 = 45,112 : x
  2. Step 2: Convert to fraction form
    28,820/45,112 = 45,112/x
  3. Step 3: Cross multiply
    28,820x = 45,112 × 45,112
  4. Step 4: Simplify right side
    28,820x = 2,035,092,544
  5. Step 5: Solve for x
    x = 2,035,092,544/28,820
  6. Step 6: Final answer
    x = 70,613.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.