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Finding the Third Proportional to 31,776 and 44,638.50

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Solution

The third proportional to 31,776 and 44,638.50 is: 62,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776 : 44,638.50 = 44,638.50 : x
  2. Step 2: Convert to fraction form
    31,776/44,638.50 = 44,638.50/x
  3. Step 3: Cross multiply
    31,776x = 44,638.50 × 44,638.50
  4. Step 4: Simplify right side
    31,776x = 1,992,595,682.25
  5. Step 5: Solve for x
    x = 1,992,595,682.25/31,776
  6. Step 6: Final answer
    x = 62,707.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.