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Finding the Third Proportional to 19,929.80 and 31,107.80

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Solution

The third proportional to 19,929.80 and 31,107.80 is: 48,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.80 : 31,107.80 = 31,107.80 : x
  2. Step 2: Convert to fraction form
    19,929.80/31,107.80 = 31,107.80/x
  3. Step 3: Cross multiply
    19,929.80x = 31,107.80 × 31,107.80
  4. Step 4: Simplify right side
    19,929.80x = 967,695,026.42
  5. Step 5: Solve for x
    x = 967,695,026.42/19,929.80
  6. Step 6: Final answer
    x = 48,555.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.