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Finding the Third Proportional to 30,232.50 and 65,840.25

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Solution

The third proportional to 30,232.50 and 65,840.25 is: 143,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.50 : 65,840.25 = 65,840.25 : x
  2. Step 2: Convert to fraction form
    30,232.50/65,840.25 = 65,840.25/x
  3. Step 3: Cross multiply
    30,232.50x = 65,840.25 × 65,840.25
  4. Step 4: Simplify right side
    30,232.50x = 4,334,938,520.06
  5. Step 5: Solve for x
    x = 4,334,938,520.06/30,232.50
  6. Step 6: Final answer
    x = 143,386.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.