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Finding the Third Proportional to 28,842 and 43,497

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Solution

The third proportional to 28,842 and 43,497 is: 65,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,842 : 43,497 = 43,497 : x
  2. Step 2: Convert to fraction form
    28,842/43,497 = 43,497/x
  3. Step 3: Cross multiply
    28,842x = 43,497 × 43,497
  4. Step 4: Simplify right side
    28,842x = 1,891,989,009
  5. Step 5: Solve for x
    x = 1,891,989,009/28,842
  6. Step 6: Final answer
    x = 65,598.40

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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.