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Finding the Third Proportional to 28,140 and 61,508

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Solution

The third proportional to 28,140 and 61,508 is: 134,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,140 : 61,508 = 61,508 : x
  2. Step 2: Convert to fraction form
    28,140/61,508 = 61,508/x
  3. Step 3: Cross multiply
    28,140x = 61,508 × 61,508
  4. Step 4: Simplify right side
    28,140x = 3,783,234,064
  5. Step 5: Solve for x
    x = 3,783,234,064/28,140
  6. Step 6: Final answer
    x = 134,443.29

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Why These Related Problems?

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