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Finding the Third Proportional to 16,999.88 and 25,514.63

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Solution

The third proportional to 16,999.88 and 25,514.63 is: 38,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.88 : 25,514.63 = 25,514.63 : x
  2. Step 2: Convert to fraction form
    16,999.88/25,514.63 = 25,514.63/x
  3. Step 3: Cross multiply
    16,999.88x = 25,514.63 × 25,514.63
  4. Step 4: Simplify right side
    16,999.88x = 650,996,088.89
  5. Step 5: Solve for x
    x = 650,996,088.89/16,999.88
  6. Step 6: Final answer
    x = 38,294.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.