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Finding the Third Proportional to 45,924.75 and 70,250.50

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Solution

The third proportional to 45,924.75 and 70,250.50 is: 107,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,924.75 : 70,250.50 = 70,250.50 : x
  2. Step 2: Convert to fraction form
    45,924.75/70,250.50 = 70,250.50/x
  3. Step 3: Cross multiply
    45,924.75x = 70,250.50 × 70,250.50
  4. Step 4: Simplify right side
    45,924.75x = 4,935,132,750.25
  5. Step 5: Solve for x
    x = 4,935,132,750.25/45,924.75
  6. Step 6: Final answer
    x = 107,461.29

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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.