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Finding the Third Proportional to 45,748.13 and 70,405.88

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Solution

The third proportional to 45,748.13 and 70,405.88 is: 108,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,748.13 : 70,405.88 = 70,405.88 : x
  2. Step 2: Convert to fraction form
    45,748.13/70,405.88 = 70,405.88/x
  3. Step 3: Cross multiply
    45,748.13x = 70,405.88 × 70,405.88
  4. Step 4: Simplify right side
    45,748.13x = 4,956,987,234.52
  5. Step 5: Solve for x
    x = 4,956,987,234.52/45,748.13
  6. Step 6: Final answer
    x = 108,353.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.