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Finding the Third Proportional to 7,813.13 and 17,084.25

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Solution

The third proportional to 7,813.13 and 17,084.25 is: 37,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.13 : 17,084.25 = 17,084.25 : x
  2. Step 2: Convert to fraction form
    7,813.13/17,084.25 = 17,084.25/x
  3. Step 3: Cross multiply
    7,813.13x = 17,084.25 × 17,084.25
  4. Step 4: Simplify right side
    7,813.13x = 291,871,598.06
  5. Step 5: Solve for x
    x = 291,871,598.06/7,813.13
  6. Step 6: Final answer
    x = 37,356.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.