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Finding the Third Proportional to 28,534 and 43,913

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Solution

The third proportional to 28,534 and 43,913 is: 67,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,534 : 43,913 = 43,913 : x
  2. Step 2: Convert to fraction form
    28,534/43,913 = 43,913/x
  3. Step 3: Cross multiply
    28,534x = 43,913 × 43,913
  4. Step 4: Simplify right side
    28,534x = 1,928,351,569
  5. Step 5: Solve for x
    x = 1,928,351,569/28,534
  6. Step 6: Final answer
    x = 67,580.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.