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Finding the Third Proportional to 46,659 and 63,076.50

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Solution

The third proportional to 46,659 and 63,076.50 is: 85,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,659 : 63,076.50 = 63,076.50 : x
  2. Step 2: Convert to fraction form
    46,659/63,076.50 = 63,076.50/x
  3. Step 3: Cross multiply
    46,659x = 63,076.50 × 63,076.50
  4. Step 4: Simplify right side
    46,659x = 3,978,644,852.25
  5. Step 5: Solve for x
    x = 3,978,644,852.25/46,659
  6. Step 6: Final answer
    x = 85,270.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.