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Finding the Third Proportional to 31,483.69 and 48,746.81

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Solution

The third proportional to 31,483.69 and 48,746.81 is: 75,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.69 : 48,746.81 = 48,746.81 : x
  2. Step 2: Convert to fraction form
    31,483.69/48,746.81 = 48,746.81/x
  3. Step 3: Cross multiply
    31,483.69x = 48,746.81 × 48,746.81
  4. Step 4: Simplify right side
    31,483.69x = 2,376,251,728.91
  5. Step 5: Solve for x
    x = 2,376,251,728.91/31,483.69
  6. Step 6: Final answer
    x = 75,475.65

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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.