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Finding the Third Proportional to 37,688.06 and 51,184.13

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Solution

The third proportional to 37,688.06 and 51,184.13 is: 69,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,688.06 : 51,184.13 = 51,184.13 : x
  2. Step 2: Convert to fraction form
    37,688.06/51,184.13 = 51,184.13/x
  3. Step 3: Cross multiply
    37,688.06x = 51,184.13 × 51,184.13
  4. Step 4: Simplify right side
    37,688.06x = 2,619,814,652.02
  5. Step 5: Solve for x
    x = 2,619,814,652.02/37,688.06
  6. Step 6: Final answer
    x = 69,513.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.