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Finding the Third Proportional to 4,302.42 and 9,117.42

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Solution

The third proportional to 4,302.42 and 9,117.42 is: 19,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.42 : 9,117.42 = 9,117.42 : x
  2. Step 2: Convert to fraction form
    4,302.42/9,117.42 = 9,117.42/x
  3. Step 3: Cross multiply
    4,302.42x = 9,117.42 × 9,117.42
  4. Step 4: Simplify right side
    4,302.42x = 83,127,381.65
  5. Step 5: Solve for x
    x = 83,127,381.65/4,302.42
  6. Step 6: Final answer
    x = 19,321.07

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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.