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Finding the Third Proportional to 15,783.75 and 34,027.50

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Solution

The third proportional to 15,783.75 and 34,027.50 is: 73,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.75 : 34,027.50 = 34,027.50 : x
  2. Step 2: Convert to fraction form
    15,783.75/34,027.50 = 34,027.50/x
  3. Step 3: Cross multiply
    15,783.75x = 34,027.50 × 34,027.50
  4. Step 4: Simplify right side
    15,783.75x = 1,157,870,756.25
  5. Step 5: Solve for x
    x = 1,157,870,756.25/15,783.75
  6. Step 6: Final answer
    x = 73,358.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.