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Finding the Third Proportional to 28,124 and 61,430

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Solution

The third proportional to 28,124 and 61,430 is: 134,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,124 : 61,430 = 61,430 : x
  2. Step 2: Convert to fraction form
    28,124/61,430 = 61,430/x
  3. Step 3: Cross multiply
    28,124x = 61,430 × 61,430
  4. Step 4: Simplify right side
    28,124x = 3,773,644,900
  5. Step 5: Solve for x
    x = 3,773,644,900/28,124
  6. Step 6: Final answer
    x = 134,178.81

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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.