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Finding the Third Proportional to 42,817.50 and 66,818.25

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Solution

The third proportional to 42,817.50 and 66,818.25 is: 104,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.50 : 66,818.25 = 66,818.25 : x
  2. Step 2: Convert to fraction form
    42,817.50/66,818.25 = 66,818.25/x
  3. Step 3: Cross multiply
    42,817.50x = 66,818.25 × 66,818.25
  4. Step 4: Simplify right side
    42,817.50x = 4,464,678,533.06
  5. Step 5: Solve for x
    x = 4,464,678,533.06/42,817.50
  6. Step 6: Final answer
    x = 104,272.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.