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Finding the Third Proportional to 28,798 and 43,643

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Solution

The third proportional to 28,798 and 43,643 is: 66,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,798 : 43,643 = 43,643 : x
  2. Step 2: Convert to fraction form
    28,798/43,643 = 43,643/x
  3. Step 3: Cross multiply
    28,798x = 43,643 × 43,643
  4. Step 4: Simplify right side
    28,798x = 1,904,711,449
  5. Step 5: Solve for x
    x = 1,904,711,449/28,798
  6. Step 6: Final answer
    x = 66,140.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.