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Finding the Third Proportional to 10,239 and 16,324.50

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Solution

The third proportional to 10,239 and 16,324.50 is: 26,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239 : 16,324.50 = 16,324.50 : x
  2. Step 2: Convert to fraction form
    10,239/16,324.50 = 16,324.50/x
  3. Step 3: Cross multiply
    10,239x = 16,324.50 × 16,324.50
  4. Step 4: Simplify right side
    10,239x = 266,489,300.25
  5. Step 5: Solve for x
    x = 266,489,300.25/10,239
  6. Step 6: Final answer
    x = 26,026.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.