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Finding the Third Proportional to 42,654 and 66,905.63

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Solution

The third proportional to 42,654 and 66,905.63 is: 104,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,654 : 66,905.63 = 66,905.63 : x
  2. Step 2: Convert to fraction form
    42,654/66,905.63 = 66,905.63/x
  3. Step 3: Cross multiply
    42,654x = 66,905.63 × 66,905.63
  4. Step 4: Simplify right side
    42,654x = 4,476,362,656.64
  5. Step 5: Solve for x
    x = 4,476,362,656.64/42,654
  6. Step 6: Final answer
    x = 104,945.91

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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.