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Finding the Third Proportional to 16,051.50 and 31,782.38

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Solution

The third proportional to 16,051.50 and 31,782.38 is: 62,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.50 : 31,782.38 = 31,782.38 : x
  2. Step 2: Convert to fraction form
    16,051.50/31,782.38 = 31,782.38/x
  3. Step 3: Cross multiply
    16,051.50x = 31,782.38 × 31,782.38
  4. Step 4: Simplify right side
    16,051.50x = 1,010,119,360.64
  5. Step 5: Solve for x
    x = 1,010,119,360.64/16,051.50
  6. Step 6: Final answer
    x = 62,929.90

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.