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Finding the Third Proportional to 9,577 and 14,717

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Solution

The third proportional to 9,577 and 14,717 is: 22,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577 : 14,717 = 14,717 : x
  2. Step 2: Convert to fraction form
    9,577/14,717 = 14,717/x
  3. Step 3: Cross multiply
    9,577x = 14,717 × 14,717
  4. Step 4: Simplify right side
    9,577x = 216,590,089
  5. Step 5: Solve for x
    x = 216,590,089/9,577
  6. Step 6: Final answer
    x = 22,615.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.