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Finding the Third Proportional to 9,607 and 15,293

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Solution

The third proportional to 9,607 and 15,293 is: 24,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607 : 15,293 = 15,293 : x
  2. Step 2: Convert to fraction form
    9,607/15,293 = 15,293/x
  3. Step 3: Cross multiply
    9,607x = 15,293 × 15,293
  4. Step 4: Simplify right side
    9,607x = 233,875,849
  5. Step 5: Solve for x
    x = 233,875,849/9,607
  6. Step 6: Final answer
    x = 24,344.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.