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Finding the Third Proportional to 20,582 and 29,577

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Solution

The third proportional to 20,582 and 29,577 is: 42,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582 : 29,577 = 29,577 : x
  2. Step 2: Convert to fraction form
    20,582/29,577 = 29,577/x
  3. Step 3: Cross multiply
    20,582x = 29,577 × 29,577
  4. Step 4: Simplify right side
    20,582x = 874,798,929
  5. Step 5: Solve for x
    x = 874,798,929/20,582
  6. Step 6: Final answer
    x = 42,503.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.