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Finding the Third Proportional to 28,738 and 45,882

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Solution

The third proportional to 28,738 and 45,882 is: 73,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,738 : 45,882 = 45,882 : x
  2. Step 2: Convert to fraction form
    28,738/45,882 = 45,882/x
  3. Step 3: Cross multiply
    28,738x = 45,882 × 45,882
  4. Step 4: Simplify right side
    28,738x = 2,105,157,924
  5. Step 5: Solve for x
    x = 2,105,157,924/28,738
  6. Step 6: Final answer
    x = 73,253.46

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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.