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Finding the Third Proportional to 28,836 and 42,212

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Solution

The third proportional to 28,836 and 42,212 is: 61,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,836 : 42,212 = 42,212 : x
  2. Step 2: Convert to fraction form
    28,836/42,212 = 42,212/x
  3. Step 3: Cross multiply
    28,836x = 42,212 × 42,212
  4. Step 4: Simplify right side
    28,836x = 1,781,852,944
  5. Step 5: Solve for x
    x = 1,781,852,944/28,836
  6. Step 6: Final answer
    x = 61,792.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.