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Finding the Third Proportional to 16,534 and 36,038

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Solution

The third proportional to 16,534 and 36,038 is: 78,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534 : 36,038 = 36,038 : x
  2. Step 2: Convert to fraction form
    16,534/36,038 = 36,038/x
  3. Step 3: Cross multiply
    16,534x = 36,038 × 36,038
  4. Step 4: Simplify right side
    16,534x = 1,298,737,444
  5. Step 5: Solve for x
    x = 1,298,737,444/16,534
  6. Step 6: Final answer
    x = 78,549.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.