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Finding the Third Proportional to 42,284.25 and 66,904.88

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Solution

The third proportional to 42,284.25 and 66,904.88 is: 105,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284.25 : 66,904.88 = 66,904.88 : x
  2. Step 2: Convert to fraction form
    42,284.25/66,904.88 = 66,904.88/x
  3. Step 3: Cross multiply
    42,284.25x = 66,904.88 × 66,904.88
  4. Step 4: Simplify right side
    42,284.25x = 4,476,262,298.77
  5. Step 5: Solve for x
    x = 4,476,262,298.77/42,284.25
  6. Step 6: Final answer
    x = 105,861.22

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.