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Finding the Third Proportional to 14,807.75 and 32,729.50

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Solution

The third proportional to 14,807.75 and 32,729.50 is: 72,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.75 : 32,729.50 = 32,729.50 : x
  2. Step 2: Convert to fraction form
    14,807.75/32,729.50 = 32,729.50/x
  3. Step 3: Cross multiply
    14,807.75x = 32,729.50 × 32,729.50
  4. Step 4: Simplify right side
    14,807.75x = 1,071,220,170.25
  5. Step 5: Solve for x
    x = 1,071,220,170.25/14,807.75
  6. Step 6: Final answer
    x = 72,341.86

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.