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Finding the Third Proportional to 2,430.23 and 5,204.70

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Solution

The third proportional to 2,430.23 and 5,204.70 is: 11,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.23 : 5,204.70 = 5,204.70 : x
  2. Step 2: Convert to fraction form
    2,430.23/5,204.70 = 5,204.70/x
  3. Step 3: Cross multiply
    2,430.23x = 5,204.70 × 5,204.70
  4. Step 4: Simplify right side
    2,430.23x = 27,088,853.30
  5. Step 5: Solve for x
    x = 27,088,853.30/2,430.23
  6. Step 6: Final answer
    x = 11,146.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.