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Finding the Third Proportional to 28,114 and 58,826

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Solution

The third proportional to 28,114 and 58,826 is: 123,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114 : 58,826 = 58,826 : x
  2. Step 2: Convert to fraction form
    28,114/58,826 = 58,826/x
  3. Step 3: Cross multiply
    28,114x = 58,826 × 58,826
  4. Step 4: Simplify right side
    28,114x = 3,460,498,276
  5. Step 5: Solve for x
    x = 3,460,498,276/28,114
  6. Step 6: Final answer
    x = 123,088.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.