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Finding the Third Proportional to 29,900.06 and 48,176.63

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Solution

The third proportional to 29,900.06 and 48,176.63 is: 77,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900.06 : 48,176.63 = 48,176.63 : x
  2. Step 2: Convert to fraction form
    29,900.06/48,176.63 = 48,176.63/x
  3. Step 3: Cross multiply
    29,900.06x = 48,176.63 × 48,176.63
  4. Step 4: Simplify right side
    29,900.06x = 2,320,987,196.39
  5. Step 5: Solve for x
    x = 2,320,987,196.39/29,900.06
  6. Step 6: Final answer
    x = 77,624.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.