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Finding the Third Proportional to 31,462.59 and 48,607.59

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Solution

The third proportional to 31,462.59 and 48,607.59 is: 75,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.59 : 48,607.59 = 48,607.59 : x
  2. Step 2: Convert to fraction form
    31,462.59/48,607.59 = 48,607.59/x
  3. Step 3: Cross multiply
    31,462.59x = 48,607.59 × 48,607.59
  4. Step 4: Simplify right side
    31,462.59x = 2,362,698,170.17
  5. Step 5: Solve for x
    x = 2,362,698,170.17/31,462.59
  6. Step 6: Final answer
    x = 75,095.47

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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.