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Finding the Third Proportional to 8,829 and 19,043.86

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Solution

The third proportional to 8,829 and 19,043.86 is: 41,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 19,043.86 = 19,043.86 : x
  2. Step 2: Convert to fraction form
    8,829/19,043.86 = 19,043.86/x
  3. Step 3: Cross multiply
    8,829x = 19,043.86 × 19,043.86
  4. Step 4: Simplify right side
    8,829x = 362,668,579.89
  5. Step 5: Solve for x
    x = 362,668,579.89/8,829
  6. Step 6: Final answer
    x = 41,076.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.