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Finding the Third Proportional to 37,210.64 and 56,162.11

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Solution

The third proportional to 37,210.64 and 56,162.11 is: 84,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210.64 : 56,162.11 = 56,162.11 : x
  2. Step 2: Convert to fraction form
    37,210.64/56,162.11 = 56,162.11/x
  3. Step 3: Cross multiply
    37,210.64x = 56,162.11 × 56,162.11
  4. Step 4: Simplify right side
    37,210.64x = 3,154,182,529.45
  5. Step 5: Solve for x
    x = 3,154,182,529.45/37,210.64
  6. Step 6: Final answer
    x = 84,765.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.