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Finding the Third Proportional to 28,141 and 61,510

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Solution

The third proportional to 28,141 and 61,510 is: 134,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,141 : 61,510 = 61,510 : x
  2. Step 2: Convert to fraction form
    28,141/61,510 = 61,510/x
  3. Step 3: Cross multiply
    28,141x = 61,510 × 61,510
  4. Step 4: Simplify right side
    28,141x = 3,783,480,100
  5. Step 5: Solve for x
    x = 3,783,480,100/28,141
  6. Step 6: Final answer
    x = 134,447.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.