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Finding the Third Proportional to 2,373.19 and 3,812.91

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Solution

The third proportional to 2,373.19 and 3,812.91 is: 6,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.19 : 3,812.91 = 3,812.91 : x
  2. Step 2: Convert to fraction form
    2,373.19/3,812.91 = 3,812.91/x
  3. Step 3: Cross multiply
    2,373.19x = 3,812.91 × 3,812.91
  4. Step 4: Simplify right side
    2,373.19x = 14,538,254.07
  5. Step 5: Solve for x
    x = 14,538,254.07/2,373.19
  6. Step 6: Final answer
    x = 6,126.05

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.