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Finding the Third Proportional to 15,336 and 16,390.69

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Solution

The third proportional to 15,336 and 16,390.69 is: 17,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 16,390.69 = 16,390.69 : x
  2. Step 2: Convert to fraction form
    15,336/16,390.69 = 16,390.69/x
  3. Step 3: Cross multiply
    15,336x = 16,390.69 × 16,390.69
  4. Step 4: Simplify right side
    15,336x = 268,654,636.72
  5. Step 5: Solve for x
    x = 268,654,636.72/15,336
  6. Step 6: Final answer
    x = 17,517.91

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.