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Finding the Third Proportional to 2,058.54 and 4,527.14

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Solution

The third proportional to 2,058.54 and 4,527.14 is: 9,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.54 : 4,527.14 = 4,527.14 : x
  2. Step 2: Convert to fraction form
    2,058.54/4,527.14 = 4,527.14/x
  3. Step 3: Cross multiply
    2,058.54x = 4,527.14 × 4,527.14
  4. Step 4: Simplify right side
    2,058.54x = 20,495,002.24
  5. Step 5: Solve for x
    x = 20,495,002.24/2,058.54
  6. Step 6: Final answer
    x = 9,956.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.