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Finding the Third Proportional to 17,565.75 and 20,056.50

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Solution

The third proportional to 17,565.75 and 20,056.50 is: 22,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.75 : 20,056.50 = 20,056.50 : x
  2. Step 2: Convert to fraction form
    17,565.75/20,056.50 = 20,056.50/x
  3. Step 3: Cross multiply
    17,565.75x = 20,056.50 × 20,056.50
  4. Step 4: Simplify right side
    17,565.75x = 402,263,192.25
  5. Step 5: Solve for x
    x = 402,263,192.25/17,565.75
  6. Step 6: Final answer
    x = 22,900.43

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.