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Finding the Third Proportional to 32,141.25 and 65,848.50

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Solution

The third proportional to 32,141.25 and 65,848.50 is: 134,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.25 : 65,848.50 = 65,848.50 : x
  2. Step 2: Convert to fraction form
    32,141.25/65,848.50 = 65,848.50/x
  3. Step 3: Cross multiply
    32,141.25x = 65,848.50 × 65,848.50
  4. Step 4: Simplify right side
    32,141.25x = 4,336,024,952.25
  5. Step 5: Solve for x
    x = 4,336,024,952.25/32,141.25
  6. Step 6: Final answer
    x = 134,905.30

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.