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Finding the Third Proportional to 32,051 and 42,856

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Solution

The third proportional to 32,051 and 42,856 is: 57,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051 : 42,856 = 42,856 : x
  2. Step 2: Convert to fraction form
    32,051/42,856 = 42,856/x
  3. Step 3: Cross multiply
    32,051x = 42,856 × 42,856
  4. Step 4: Simplify right side
    32,051x = 1,836,636,736
  5. Step 5: Solve for x
    x = 1,836,636,736/32,051
  6. Step 6: Final answer
    x = 57,303.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.