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Finding the Third Proportional to 28,809 and 42,111

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Solution

The third proportional to 28,809 and 42,111 is: 61,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,809 : 42,111 = 42,111 : x
  2. Step 2: Convert to fraction form
    28,809/42,111 = 42,111/x
  3. Step 3: Cross multiply
    28,809x = 42,111 × 42,111
  4. Step 4: Simplify right side
    28,809x = 1,773,336,321
  5. Step 5: Solve for x
    x = 1,773,336,321/28,809
  6. Step 6: Final answer
    x = 61,554.94

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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.