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Finding the Third Proportional to 28,110 and 42,013

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Solution

The third proportional to 28,110 and 42,013 is: 62,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,110 : 42,013 = 42,013 : x
  2. Step 2: Convert to fraction form
    28,110/42,013 = 42,013/x
  3. Step 3: Cross multiply
    28,110x = 42,013 × 42,013
  4. Step 4: Simplify right side
    28,110x = 1,765,092,169
  5. Step 5: Solve for x
    x = 1,765,092,169/28,110
  6. Step 6: Final answer
    x = 62,792.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.