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Finding the Third Proportional to 25,717.50 and 29,497.50

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Solution

The third proportional to 25,717.50 and 29,497.50 is: 33,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.50 : 29,497.50 = 29,497.50 : x
  2. Step 2: Convert to fraction form
    25,717.50/29,497.50 = 29,497.50/x
  3. Step 3: Cross multiply
    25,717.50x = 29,497.50 × 29,497.50
  4. Step 4: Simplify right side
    25,717.50x = 870,102,506.25
  5. Step 5: Solve for x
    x = 870,102,506.25/25,717.50
  6. Step 6: Final answer
    x = 33,833.09

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.