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Finding the Third Proportional to 42,926.63 and 66,412.69

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Solution

The third proportional to 42,926.63 and 66,412.69 is: 102,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,926.63 : 66,412.69 = 66,412.69 : x
  2. Step 2: Convert to fraction form
    42,926.63/66,412.69 = 66,412.69/x
  3. Step 3: Cross multiply
    42,926.63x = 66,412.69 × 66,412.69
  4. Step 4: Simplify right side
    42,926.63x = 4,410,645,060.97
  5. Step 5: Solve for x
    x = 4,410,645,060.97/42,926.63
  6. Step 6: Final answer
    x = 102,748.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.