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Finding the Third Proportional to 9,833 and 15,577

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Solution

The third proportional to 9,833 and 15,577 is: 24,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833 : 15,577 = 15,577 : x
  2. Step 2: Convert to fraction form
    9,833/15,577 = 15,577/x
  3. Step 3: Cross multiply
    9,833x = 15,577 × 15,577
  4. Step 4: Simplify right side
    9,833x = 242,642,929
  5. Step 5: Solve for x
    x = 242,642,929/9,833
  6. Step 6: Final answer
    x = 24,676.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.