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Finding the Third Proportional to 18,537 and 28,494

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Solution

The third proportional to 18,537 and 28,494 is: 43,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537 : 28,494 = 28,494 : x
  2. Step 2: Convert to fraction form
    18,537/28,494 = 28,494/x
  3. Step 3: Cross multiply
    18,537x = 28,494 × 28,494
  4. Step 4: Simplify right side
    18,537x = 811,908,036
  5. Step 5: Solve for x
    x = 811,908,036/18,537
  6. Step 6: Final answer
    x = 43,799.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.