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Finding the Third Proportional to 45,052.50 and 64,896

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Solution

The third proportional to 45,052.50 and 64,896 is: 93,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052.50 : 64,896 = 64,896 : x
  2. Step 2: Convert to fraction form
    45,052.50/64,896 = 64,896/x
  3. Step 3: Cross multiply
    45,052.50x = 64,896 × 64,896
  4. Step 4: Simplify right side
    45,052.50x = 4,211,490,816
  5. Step 5: Solve for x
    x = 4,211,490,816/45,052.50
  6. Step 6: Final answer
    x = 93,479.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.