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Finding the Third Proportional to 7,060 and 13,058

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Solution

The third proportional to 7,060 and 13,058 is: 24,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060 : 13,058 = 13,058 : x
  2. Step 2: Convert to fraction form
    7,060/13,058 = 13,058/x
  3. Step 3: Cross multiply
    7,060x = 13,058 × 13,058
  4. Step 4: Simplify right side
    7,060x = 170,511,364
  5. Step 5: Solve for x
    x = 170,511,364/7,060
  6. Step 6: Final answer
    x = 24,151.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.