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Finding the Third Proportional to 16,452 and 26,730

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Solution

The third proportional to 16,452 and 26,730 is: 43,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452 : 26,730 = 26,730 : x
  2. Step 2: Convert to fraction form
    16,452/26,730 = 26,730/x
  3. Step 3: Cross multiply
    16,452x = 26,730 × 26,730
  4. Step 4: Simplify right side
    16,452x = 714,492,900
  5. Step 5: Solve for x
    x = 714,492,900/16,452
  6. Step 6: Final answer
    x = 43,428.94

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.