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Finding the Third Proportional to 28,824 and 42,197

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Solution

The third proportional to 28,824 and 42,197 is: 61,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,824 : 42,197 = 42,197 : x
  2. Step 2: Convert to fraction form
    28,824/42,197 = 42,197/x
  3. Step 3: Cross multiply
    28,824x = 42,197 × 42,197
  4. Step 4: Simplify right side
    28,824x = 1,780,586,809
  5. Step 5: Solve for x
    x = 1,780,586,809/28,824
  6. Step 6: Final answer
    x = 61,774.45

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Why These Related Problems?

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