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Finding the Third Proportional to 31,304.25 and 64,048.50

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Solution

The third proportional to 31,304.25 and 64,048.50 is: 131,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.25 : 64,048.50 = 64,048.50 : x
  2. Step 2: Convert to fraction form
    31,304.25/64,048.50 = 64,048.50/x
  3. Step 3: Cross multiply
    31,304.25x = 64,048.50 × 64,048.50
  4. Step 4: Simplify right side
    31,304.25x = 4,102,210,352.25
  5. Step 5: Solve for x
    x = 4,102,210,352.25/31,304.25
  6. Step 6: Final answer
    x = 131,043.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.