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Finding the Third Proportional to 28,435 and 61,913

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Solution

The third proportional to 28,435 and 61,913 is: 134,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,435 : 61,913 = 61,913 : x
  2. Step 2: Convert to fraction form
    28,435/61,913 = 61,913/x
  3. Step 3: Cross multiply
    28,435x = 61,913 × 61,913
  4. Step 4: Simplify right side
    28,435x = 3,833,219,569
  5. Step 5: Solve for x
    x = 3,833,219,569/28,435
  6. Step 6: Final answer
    x = 134,806.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.