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Finding the Third Proportional to 17,564 and 39,300

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Solution

The third proportional to 17,564 and 39,300 is: 87,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564 : 39,300 = 39,300 : x
  2. Step 2: Convert to fraction form
    17,564/39,300 = 39,300/x
  3. Step 3: Cross multiply
    17,564x = 39,300 × 39,300
  4. Step 4: Simplify right side
    17,564x = 1,544,490,000
  5. Step 5: Solve for x
    x = 1,544,490,000/17,564
  6. Step 6: Final answer
    x = 87,934.98

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.