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Finding the Third Proportional to 7,058.18 and 10,392.26

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Solution

The third proportional to 7,058.18 and 10,392.26 is: 15,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.18 : 10,392.26 = 10,392.26 : x
  2. Step 2: Convert to fraction form
    7,058.18/10,392.26 = 10,392.26/x
  3. Step 3: Cross multiply
    7,058.18x = 10,392.26 × 10,392.26
  4. Step 4: Simplify right side
    7,058.18x = 107,999,022.44
  5. Step 5: Solve for x
    x = 107,999,022.44/7,058.18
  6. Step 6: Final answer
    x = 15,301.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.