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Finding the Third Proportional to 9,570 and 14,638

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Solution

The third proportional to 9,570 and 14,638 is: 22,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 14,638 = 14,638 : x
  2. Step 2: Convert to fraction form
    9,570/14,638 = 14,638/x
  3. Step 3: Cross multiply
    9,570x = 14,638 × 14,638
  4. Step 4: Simplify right side
    9,570x = 214,271,044
  5. Step 5: Solve for x
    x = 214,271,044/9,570
  6. Step 6: Final answer
    x = 22,389.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.