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Finding the Third Proportional to 28,305 and 42,813

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Solution

The third proportional to 28,305 and 42,813 is: 64,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305 : 42,813 = 42,813 : x
  2. Step 2: Convert to fraction form
    28,305/42,813 = 42,813/x
  3. Step 3: Cross multiply
    28,305x = 42,813 × 42,813
  4. Step 4: Simplify right side
    28,305x = 1,832,952,969
  5. Step 5: Solve for x
    x = 1,832,952,969/28,305
  6. Step 6: Final answer
    x = 64,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.