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Finding the Third Proportional to 8,269.59 and 19,518.47

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Solution

The third proportional to 8,269.59 and 19,518.47 is: 46,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.59 : 19,518.47 = 19,518.47 : x
  2. Step 2: Convert to fraction form
    8,269.59/19,518.47 = 19,518.47/x
  3. Step 3: Cross multiply
    8,269.59x = 19,518.47 × 19,518.47
  4. Step 4: Simplify right side
    8,269.59x = 380,970,622.34
  5. Step 5: Solve for x
    x = 380,970,622.34/8,269.59
  6. Step 6: Final answer
    x = 46,068.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.