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Finding the Third Proportional to 29,577 and 43,497

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Solution

The third proportional to 29,577 and 43,497 is: 63,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,577 : 43,497 = 43,497 : x
  2. Step 2: Convert to fraction form
    29,577/43,497 = 43,497/x
  3. Step 3: Cross multiply
    29,577x = 43,497 × 43,497
  4. Step 4: Simplify right side
    29,577x = 1,891,989,009
  5. Step 5: Solve for x
    x = 1,891,989,009/29,577
  6. Step 6: Final answer
    x = 63,968.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.