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Finding the Third Proportional to 47,950.31 and 64,918.13

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Solution

The third proportional to 47,950.31 and 64,918.13 is: 87,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,950.31 : 64,918.13 = 64,918.13 : x
  2. Step 2: Convert to fraction form
    47,950.31/64,918.13 = 64,918.13/x
  3. Step 3: Cross multiply
    47,950.31x = 64,918.13 × 64,918.13
  4. Step 4: Simplify right side
    47,950.31x = 4,214,362,953.52
  5. Step 5: Solve for x
    x = 4,214,362,953.52/47,950.31
  6. Step 6: Final answer
    x = 87,890.21

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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.