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Finding the Third Proportional to 7,887.38 and 16,970.63

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Solution

The third proportional to 7,887.38 and 16,970.63 is: 36,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.38 : 16,970.63 = 16,970.63 : x
  2. Step 2: Convert to fraction form
    7,887.38/16,970.63 = 16,970.63/x
  3. Step 3: Cross multiply
    7,887.38x = 16,970.63 × 16,970.63
  4. Step 4: Simplify right side
    7,887.38x = 288,002,112.89
  5. Step 5: Solve for x
    x = 288,002,112.89/7,887.38
  6. Step 6: Final answer
    x = 36,514.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.