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Finding the Third Proportional to 42,624.56 and 66,864.23

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Solution

The third proportional to 42,624.56 and 66,864.23 is: 104,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624.56 : 66,864.23 = 66,864.23 : x
  2. Step 2: Convert to fraction form
    42,624.56/66,864.23 = 66,864.23/x
  3. Step 3: Cross multiply
    42,624.56x = 66,864.23 × 66,864.23
  4. Step 4: Simplify right side
    42,624.56x = 4,470,825,838.55
  5. Step 5: Solve for x
    x = 4,470,825,838.55/42,624.56
  6. Step 6: Final answer
    x = 104,888.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.