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Finding the Third Proportional to 7,058 and 7,842

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Solution

The third proportional to 7,058 and 7,842 is: 8,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 7,842 = 7,842 : x
  2. Step 2: Convert to fraction form
    7,058/7,842 = 7,842/x
  3. Step 3: Cross multiply
    7,058x = 7,842 × 7,842
  4. Step 4: Simplify right side
    7,058x = 61,496,964
  5. Step 5: Solve for x
    x = 61,496,964/7,058
  6. Step 6: Final answer
    x = 8,713.09

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