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Finding the Third Proportional to 10,058.63 and 15,020.44

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Solution

The third proportional to 10,058.63 and 15,020.44 is: 22,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.63 : 15,020.44 = 15,020.44 : x
  2. Step 2: Convert to fraction form
    10,058.63/15,020.44 = 15,020.44/x
  3. Step 3: Cross multiply
    10,058.63x = 15,020.44 × 15,020.44
  4. Step 4: Simplify right side
    10,058.63x = 225,613,542.69
  5. Step 5: Solve for x
    x = 225,613,542.69/10,058.63
  6. Step 6: Final answer
    x = 22,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.