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Finding the Third Proportional to 16,590.38 and 36,886.50

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Solution

The third proportional to 16,590.38 and 36,886.50 is: 82,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.38 : 36,886.50 = 36,886.50 : x
  2. Step 2: Convert to fraction form
    16,590.38/36,886.50 = 36,886.50/x
  3. Step 3: Cross multiply
    16,590.38x = 36,886.50 × 36,886.50
  4. Step 4: Simplify right side
    16,590.38x = 1,360,613,882.25
  5. Step 5: Solve for x
    x = 1,360,613,882.25/16,590.38
  6. Step 6: Final answer
    x = 82,012.24

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.