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Finding the Third Proportional to 45,776.25 and 70,738.31

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Solution

The third proportional to 45,776.25 and 70,738.31 is: 109,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,776.25 : 70,738.31 = 70,738.31 : x
  2. Step 2: Convert to fraction form
    45,776.25/70,738.31 = 70,738.31/x
  3. Step 3: Cross multiply
    45,776.25x = 70,738.31 × 70,738.31
  4. Step 4: Simplify right side
    45,776.25x = 5,003,908,855.35
  5. Step 5: Solve for x
    x = 5,003,908,855.35/45,776.25
  6. Step 6: Final answer
    x = 109,312.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.