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Finding the Third Proportional to 9,712 and 15,546

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Solution

The third proportional to 9,712 and 15,546 is: 24,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 15,546 = 15,546 : x
  2. Step 2: Convert to fraction form
    9,712/15,546 = 15,546/x
  3. Step 3: Cross multiply
    9,712x = 15,546 × 15,546
  4. Step 4: Simplify right side
    9,712x = 241,678,116
  5. Step 5: Solve for x
    x = 241,678,116/9,712
  6. Step 6: Final answer
    x = 24,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.