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Finding the Third Proportional to 14,058.56 and 29,742.19

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Solution

The third proportional to 14,058.56 and 29,742.19 is: 62,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.56 : 29,742.19 = 29,742.19 : x
  2. Step 2: Convert to fraction form
    14,058.56/29,742.19 = 29,742.19/x
  3. Step 3: Cross multiply
    14,058.56x = 29,742.19 × 29,742.19
  4. Step 4: Simplify right side
    14,058.56x = 884,597,717.29
  5. Step 5: Solve for x
    x = 884,597,717.29/14,058.56
  6. Step 6: Final answer
    x = 62,922.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.