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Finding the Third Proportional to 4,854 and 10,464

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Solution

The third proportional to 4,854 and 10,464 is: 22,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854 : 10,464 = 10,464 : x
  2. Step 2: Convert to fraction form
    4,854/10,464 = 10,464/x
  3. Step 3: Cross multiply
    4,854x = 10,464 × 10,464
  4. Step 4: Simplify right side
    4,854x = 109,495,296
  5. Step 5: Solve for x
    x = 109,495,296/4,854
  6. Step 6: Final answer
    x = 22,557.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.