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Finding the Third Proportional to 31,762.13 and 70,054.88

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Solution

The third proportional to 31,762.13 and 70,054.88 is: 154,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.13 : 70,054.88 = 70,054.88 : x
  2. Step 2: Convert to fraction form
    31,762.13/70,054.88 = 70,054.88/x
  3. Step 3: Cross multiply
    31,762.13x = 70,054.88 × 70,054.88
  4. Step 4: Simplify right side
    31,762.13x = 4,907,685,511.27
  5. Step 5: Solve for x
    x = 4,907,685,511.27/31,762.13
  6. Step 6: Final answer
    x = 154,513.76

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.