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Finding the Third Proportional to 9,570 and 15,357

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Solution

The third proportional to 9,570 and 15,357 is: 24,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 15,357 = 15,357 : x
  2. Step 2: Convert to fraction form
    9,570/15,357 = 15,357/x
  3. Step 3: Cross multiply
    9,570x = 15,357 × 15,357
  4. Step 4: Simplify right side
    9,570x = 235,837,449
  5. Step 5: Solve for x
    x = 235,837,449/9,570
  6. Step 6: Final answer
    x = 24,643.41

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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.