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Finding the Third Proportional to 38,409.19 and 83,926.13

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Solution

The third proportional to 38,409.19 and 83,926.13 is: 183,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.19 : 83,926.13 = 83,926.13 : x
  2. Step 2: Convert to fraction form
    38,409.19/83,926.13 = 83,926.13/x
  3. Step 3: Cross multiply
    38,409.19x = 83,926.13 × 83,926.13
  4. Step 4: Simplify right side
    38,409.19x = 7,043,594,457.52
  5. Step 5: Solve for x
    x = 7,043,594,457.52/38,409.19
  6. Step 6: Final answer
    x = 183,383.06

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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.