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Finding the Third Proportional to 32,187.38 and 66,602.25

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Solution

The third proportional to 32,187.38 and 66,602.25 is: 137,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.38 : 66,602.25 = 66,602.25 : x
  2. Step 2: Convert to fraction form
    32,187.38/66,602.25 = 66,602.25/x
  3. Step 3: Cross multiply
    32,187.38x = 66,602.25 × 66,602.25
  4. Step 4: Simplify right side
    32,187.38x = 4,435,859,705.06
  5. Step 5: Solve for x
    x = 4,435,859,705.06/32,187.38
  6. Step 6: Final answer
    x = 137,813.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.