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Finding the Third Proportional to 8,385.19 and 17,069.06

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Solution

The third proportional to 8,385.19 and 17,069.06 is: 34,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.19 : 17,069.06 = 17,069.06 : x
  2. Step 2: Convert to fraction form
    8,385.19/17,069.06 = 17,069.06/x
  3. Step 3: Cross multiply
    8,385.19x = 17,069.06 × 17,069.06
  4. Step 4: Simplify right side
    8,385.19x = 291,352,894.63
  5. Step 5: Solve for x
    x = 291,352,894.63/8,385.19
  6. Step 6: Final answer
    x = 34,746.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.