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Finding the Third Proportional to 38,241 and 83,869.50

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Solution

The third proportional to 38,241 and 83,869.50 is: 183,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241 : 83,869.50 = 83,869.50 : x
  2. Step 2: Convert to fraction form
    38,241/83,869.50 = 83,869.50/x
  3. Step 3: Cross multiply
    38,241x = 83,869.50 × 83,869.50
  4. Step 4: Simplify right side
    38,241x = 7,034,093,030.25
  5. Step 5: Solve for x
    x = 7,034,093,030.25/38,241
  6. Step 6: Final answer
    x = 183,941.14

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