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Finding the Third Proportional to 9,968 and 15,638

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Solution

The third proportional to 9,968 and 15,638 is: 24,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968 : 15,638 = 15,638 : x
  2. Step 2: Convert to fraction form
    9,968/15,638 = 15,638/x
  3. Step 3: Cross multiply
    9,968x = 15,638 × 15,638
  4. Step 4: Simplify right side
    9,968x = 244,547,044
  5. Step 5: Solve for x
    x = 244,547,044/9,968
  6. Step 6: Final answer
    x = 24,533.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.