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Finding the Third Proportional to 7,983.50 and 17,363

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Solution

The third proportional to 7,983.50 and 17,363 is: 37,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.50 : 17,363 = 17,363 : x
  2. Step 2: Convert to fraction form
    7,983.50/17,363 = 17,363/x
  3. Step 3: Cross multiply
    7,983.50x = 17,363 × 17,363
  4. Step 4: Simplify right side
    7,983.50x = 301,473,769
  5. Step 5: Solve for x
    x = 301,473,769/7,983.50
  6. Step 6: Final answer
    x = 37,762.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.