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Finding the Third Proportional to 16,590.75 and 25,691.63

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Solution

The third proportional to 16,590.75 and 25,691.63 is: 39,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.75 : 25,691.63 = 25,691.63 : x
  2. Step 2: Convert to fraction form
    16,590.75/25,691.63 = 25,691.63/x
  3. Step 3: Cross multiply
    16,590.75x = 25,691.63 × 25,691.63
  4. Step 4: Simplify right side
    16,590.75x = 660,059,595.14
  5. Step 5: Solve for x
    x = 660,059,595.14/16,590.75
  6. Step 6: Final answer
    x = 39,784.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.