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Finding the Third Proportional to 30,783.75 and 66,373.50

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Solution

The third proportional to 30,783.75 and 66,373.50 is: 143,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.75 : 66,373.50 = 66,373.50 : x
  2. Step 2: Convert to fraction form
    30,783.75/66,373.50 = 66,373.50/x
  3. Step 3: Cross multiply
    30,783.75x = 66,373.50 × 66,373.50
  4. Step 4: Simplify right side
    30,783.75x = 4,405,441,502.25
  5. Step 5: Solve for x
    x = 4,405,441,502.25/30,783.75
  6. Step 6: Final answer
    x = 143,109.32

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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.