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Finding the Third Proportional to 14,773.50 and 32,417.44

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Solution

The third proportional to 14,773.50 and 32,417.44 is: 71,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.50 : 32,417.44 = 32,417.44 : x
  2. Step 2: Convert to fraction form
    14,773.50/32,417.44 = 32,417.44/x
  3. Step 3: Cross multiply
    14,773.50x = 32,417.44 × 32,417.44
  4. Step 4: Simplify right side
    14,773.50x = 1,050,890,254.07
  5. Step 5: Solve for x
    x = 1,050,890,254.07/14,773.50
  6. Step 6: Final answer
    x = 71,133.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.