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Finding the Third Proportional to 66,015 and 83,956.50

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Solution

The third proportional to 66,015 and 83,956.50 is: 106,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 83,956.50 = 83,956.50 : x
  2. Step 2: Convert to fraction form
    66,015/83,956.50 = 83,956.50/x
  3. Step 3: Cross multiply
    66,015x = 83,956.50 × 83,956.50
  4. Step 4: Simplify right side
    66,015x = 7,048,693,892.25
  5. Step 5: Solve for x
    x = 7,048,693,892.25/66,015
  6. Step 6: Final answer
    x = 106,774.13

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.