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Finding the Third Proportional to 28,695 and 44,743.50

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Solution

The third proportional to 28,695 and 44,743.50 is: 69,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,695 : 44,743.50 = 44,743.50 : x
  2. Step 2: Convert to fraction form
    28,695/44,743.50 = 44,743.50/x
  3. Step 3: Cross multiply
    28,695x = 44,743.50 × 44,743.50
  4. Step 4: Simplify right side
    28,695x = 2,001,980,792.25
  5. Step 5: Solve for x
    x = 2,001,980,792.25/28,695
  6. Step 6: Final answer
    x = 69,767.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.