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Finding the Third Proportional to 4,564 and 7,348

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Solution

The third proportional to 4,564 and 7,348 is: 11,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 7,348 = 7,348 : x
  2. Step 2: Convert to fraction form
    4,564/7,348 = 7,348/x
  3. Step 3: Cross multiply
    4,564x = 7,348 × 7,348
  4. Step 4: Simplify right side
    4,564x = 53,993,104
  5. Step 5: Solve for x
    x = 53,993,104/4,564
  6. Step 6: Final answer
    x = 11,830.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.