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Finding the Third Proportional to 19,810.50 and 31,539

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Solution

The third proportional to 19,810.50 and 31,539 is: 50,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.50 : 31,539 = 31,539 : x
  2. Step 2: Convert to fraction form
    19,810.50/31,539 = 31,539/x
  3. Step 3: Cross multiply
    19,810.50x = 31,539 × 31,539
  4. Step 4: Simplify right side
    19,810.50x = 994,708,521
  5. Step 5: Solve for x
    x = 994,708,521/19,810.50
  6. Step 6: Final answer
    x = 50,211.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.