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Finding the Third Proportional to 45,984.38 and 70,313.06

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Solution

The third proportional to 45,984.38 and 70,313.06 is: 107,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984.38 : 70,313.06 = 70,313.06 : x
  2. Step 2: Convert to fraction form
    45,984.38/70,313.06 = 70,313.06/x
  3. Step 3: Cross multiply
    45,984.38x = 70,313.06 × 70,313.06
  4. Step 4: Simplify right side
    45,984.38x = 4,943,926,758.13
  5. Step 5: Solve for x
    x = 4,943,926,758.13/45,984.38
  6. Step 6: Final answer
    x = 107,513.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.