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Finding the Third Proportional to 29,632.50 and 45,758.25

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Solution

The third proportional to 29,632.50 and 45,758.25 is: 70,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632.50 : 45,758.25 = 45,758.25 : x
  2. Step 2: Convert to fraction form
    29,632.50/45,758.25 = 45,758.25/x
  3. Step 3: Cross multiply
    29,632.50x = 45,758.25 × 45,758.25
  4. Step 4: Simplify right side
    29,632.50x = 2,093,817,443.06
  5. Step 5: Solve for x
    x = 2,093,817,443.06/29,632.50
  6. Step 6: Final answer
    x = 70,659.49

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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.