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Finding the Third Proportional to 7,058 and 7,826

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Solution

The third proportional to 7,058 and 7,826 is: 8,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 7,826 = 7,826 : x
  2. Step 2: Convert to fraction form
    7,058/7,826 = 7,826/x
  3. Step 3: Cross multiply
    7,058x = 7,826 × 7,826
  4. Step 4: Simplify right side
    7,058x = 61,246,276
  5. Step 5: Solve for x
    x = 61,246,276/7,058
  6. Step 6: Final answer
    x = 8,677.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.