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Finding the Third Proportional to 42,717 and 62,365.50

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Solution

The third proportional to 42,717 and 62,365.50 is: 91,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,717 : 62,365.50 = 62,365.50 : x
  2. Step 2: Convert to fraction form
    42,717/62,365.50 = 62,365.50/x
  3. Step 3: Cross multiply
    42,717x = 62,365.50 × 62,365.50
  4. Step 4: Simplify right side
    42,717x = 3,889,455,590.25
  5. Step 5: Solve for x
    x = 3,889,455,590.25/42,717
  6. Step 6: Final answer
    x = 91,051.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.