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Finding the Third Proportional to 7,464 and 13,578

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Solution

The third proportional to 7,464 and 13,578 is: 24,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464 : 13,578 = 13,578 : x
  2. Step 2: Convert to fraction form
    7,464/13,578 = 13,578/x
  3. Step 3: Cross multiply
    7,464x = 13,578 × 13,578
  4. Step 4: Simplify right side
    7,464x = 184,362,084
  5. Step 5: Solve for x
    x = 184,362,084/7,464
  6. Step 6: Final answer
    x = 24,700.17

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.