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Finding the Third Proportional to 9,688 and 15,415

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Solution

The third proportional to 9,688 and 15,415 is: 24,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688 : 15,415 = 15,415 : x
  2. Step 2: Convert to fraction form
    9,688/15,415 = 15,415/x
  3. Step 3: Cross multiply
    9,688x = 15,415 × 15,415
  4. Step 4: Simplify right side
    9,688x = 237,622,225
  5. Step 5: Solve for x
    x = 237,622,225/9,688
  6. Step 6: Final answer
    x = 24,527.48

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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.