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Finding the Third Proportional to 9,378 and 13,585

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Solution

The third proportional to 9,378 and 13,585 is: 19,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 13,585 = 13,585 : x
  2. Step 2: Convert to fraction form
    9,378/13,585 = 13,585/x
  3. Step 3: Cross multiply
    9,378x = 13,585 × 13,585
  4. Step 4: Simplify right side
    9,378x = 184,552,225
  5. Step 5: Solve for x
    x = 184,552,225/9,378
  6. Step 6: Final answer
    x = 19,679.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.