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Finding the Third Proportional to 16,029 and 24,030

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Solution

The third proportional to 16,029 and 24,030 is: 36,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029 : 24,030 = 24,030 : x
  2. Step 2: Convert to fraction form
    16,029/24,030 = 24,030/x
  3. Step 3: Cross multiply
    16,029x = 24,030 × 24,030
  4. Step 4: Simplify right side
    16,029x = 577,440,900
  5. Step 5: Solve for x
    x = 577,440,900/16,029
  6. Step 6: Final answer
    x = 36,024.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.