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Finding the Third Proportional to 8,289.84 and 17,582.06

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Solution

The third proportional to 8,289.84 and 17,582.06 is: 37,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.84 : 17,582.06 = 17,582.06 : x
  2. Step 2: Convert to fraction form
    8,289.84/17,582.06 = 17,582.06/x
  3. Step 3: Cross multiply
    8,289.84x = 17,582.06 × 17,582.06
  4. Step 4: Simplify right side
    8,289.84x = 309,128,921.75
  5. Step 5: Solve for x
    x = 309,128,921.75/8,289.84
  6. Step 6: Final answer
    x = 37,290.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.