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Finding the Third Proportional to 4,561.31 and 9,430.17

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Solution

The third proportional to 4,561.31 and 9,430.17 is: 19,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.31 : 9,430.17 = 9,430.17 : x
  2. Step 2: Convert to fraction form
    4,561.31/9,430.17 = 9,430.17/x
  3. Step 3: Cross multiply
    4,561.31x = 9,430.17 × 9,430.17
  4. Step 4: Simplify right side
    4,561.31x = 88,928,141.59
  5. Step 5: Solve for x
    x = 88,928,141.59/4,561.31
  6. Step 6: Final answer
    x = 19,496.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.