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Finding the Third Proportional to 31,125 and 44,743.50

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Solution

The third proportional to 31,125 and 44,743.50 is: 64,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125 : 44,743.50 = 44,743.50 : x
  2. Step 2: Convert to fraction form
    31,125/44,743.50 = 44,743.50/x
  3. Step 3: Cross multiply
    31,125x = 44,743.50 × 44,743.50
  4. Step 4: Simplify right side
    31,125x = 2,001,980,792.25
  5. Step 5: Solve for x
    x = 2,001,980,792.25/31,125
  6. Step 6: Final answer
    x = 64,320.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.