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Finding the Third Proportional to 28,111 and 42,014

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Solution

The third proportional to 28,111 and 42,014 is: 62,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,111 : 42,014 = 42,014 : x
  2. Step 2: Convert to fraction form
    28,111/42,014 = 42,014/x
  3. Step 3: Cross multiply
    28,111x = 42,014 × 42,014
  4. Step 4: Simplify right side
    28,111x = 1,765,176,196
  5. Step 5: Solve for x
    x = 1,765,176,196/28,111
  6. Step 6: Final answer
    x = 62,793.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.