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Finding the Third Proportional to 31,409.63 and 48,572.63

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Solution

The third proportional to 31,409.63 and 48,572.63 is: 75,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.63 : 48,572.63 = 48,572.63 : x
  2. Step 2: Convert to fraction form
    31,409.63/48,572.63 = 48,572.63/x
  3. Step 3: Cross multiply
    31,409.63x = 48,572.63 × 48,572.63
  4. Step 4: Simplify right side
    31,409.63x = 2,359,299,899.39
  5. Step 5: Solve for x
    x = 2,359,299,899.39/31,409.63
  6. Step 6: Final answer
    x = 75,113.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.