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Finding the Third Proportional to 19,710.56 and 29,770.88

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Solution

The third proportional to 19,710.56 and 29,770.88 is: 44,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.56 : 29,770.88 = 29,770.88 : x
  2. Step 2: Convert to fraction form
    19,710.56/29,770.88 = 29,770.88/x
  3. Step 3: Cross multiply
    19,710.56x = 29,770.88 × 29,770.88
  4. Step 4: Simplify right side
    19,710.56x = 886,304,998.27
  5. Step 5: Solve for x
    x = 886,304,998.27/19,710.56
  6. Step 6: Final answer
    x = 44,965.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.