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Finding the Third Proportional to 19,957.50 and 30,701.25

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Solution

The third proportional to 19,957.50 and 30,701.25 is: 47,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.50 : 30,701.25 = 30,701.25 : x
  2. Step 2: Convert to fraction form
    19,957.50/30,701.25 = 30,701.25/x
  3. Step 3: Cross multiply
    19,957.50x = 30,701.25 × 30,701.25
  4. Step 4: Simplify right side
    19,957.50x = 942,566,751.56
  5. Step 5: Solve for x
    x = 942,566,751.56/19,957.50
  6. Step 6: Final answer
    x = 47,228.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.