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Finding the Third Proportional to 7,970.59 and 17,017.59

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Solution

The third proportional to 7,970.59 and 17,017.59 is: 36,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.59 : 17,017.59 = 17,017.59 : x
  2. Step 2: Convert to fraction form
    7,970.59/17,017.59 = 17,017.59/x
  3. Step 3: Cross multiply
    7,970.59x = 17,017.59 × 17,017.59
  4. Step 4: Simplify right side
    7,970.59x = 289,598,497.04
  5. Step 5: Solve for x
    x = 289,598,497.04/7,970.59
  6. Step 6: Final answer
    x = 36,333.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.