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Finding the Third Proportional to 17,001 and 37,280.25

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Solution

The third proportional to 17,001 and 37,280.25 is: 81,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001 : 37,280.25 = 37,280.25 : x
  2. Step 2: Convert to fraction form
    17,001/37,280.25 = 37,280.25/x
  3. Step 3: Cross multiply
    17,001x = 37,280.25 × 37,280.25
  4. Step 4: Simplify right side
    17,001x = 1,389,817,040.06
  5. Step 5: Solve for x
    x = 1,389,817,040.06/17,001
  6. Step 6: Final answer
    x = 81,749.13

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1.5x scale

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.