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Finding the Third Proportional to 38,619 and 84,619.13

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Solution

The third proportional to 38,619 and 84,619.13 is: 185,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,619 : 84,619.13 = 84,619.13 : x
  2. Step 2: Convert to fraction form
    38,619/84,619.13 = 84,619.13/x
  3. Step 3: Cross multiply
    38,619x = 84,619.13 × 84,619.13
  4. Step 4: Simplify right side
    38,619x = 7,160,396,315.77
  5. Step 5: Solve for x
    x = 7,160,396,315.77/38,619
  6. Step 6: Final answer
    x = 185,411.23

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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.