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Finding the Third Proportional to 4,326 and 10,207.50

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Solution

The third proportional to 4,326 and 10,207.50 is: 24,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326 : 10,207.50 = 10,207.50 : x
  2. Step 2: Convert to fraction form
    4,326/10,207.50 = 10,207.50/x
  3. Step 3: Cross multiply
    4,326x = 10,207.50 × 10,207.50
  4. Step 4: Simplify right side
    4,326x = 104,193,056.25
  5. Step 5: Solve for x
    x = 104,193,056.25/4,326
  6. Step 6: Final answer
    x = 24,085.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.