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Finding the Third Proportional to 14,542 and 32,030

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Solution

The third proportional to 14,542 and 32,030 is: 70,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542 : 32,030 = 32,030 : x
  2. Step 2: Convert to fraction form
    14,542/32,030 = 32,030/x
  3. Step 3: Cross multiply
    14,542x = 32,030 × 32,030
  4. Step 4: Simplify right side
    14,542x = 1,025,920,900
  5. Step 5: Solve for x
    x = 1,025,920,900/14,542
  6. Step 6: Final answer
    x = 70,548.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.