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Finding the Third Proportional to 28,734 and 42,155

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Solution

The third proportional to 28,734 and 42,155 is: 61,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,734 : 42,155 = 42,155 : x
  2. Step 2: Convert to fraction form
    28,734/42,155 = 42,155/x
  3. Step 3: Cross multiply
    28,734x = 42,155 × 42,155
  4. Step 4: Simplify right side
    28,734x = 1,777,044,025
  5. Step 5: Solve for x
    x = 1,777,044,025/28,734
  6. Step 6: Final answer
    x = 61,844.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.