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Finding the Third Proportional to 12,564 and 19,464

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Solution

The third proportional to 12,564 and 19,464 is: 30,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 19,464 = 19,464 : x
  2. Step 2: Convert to fraction form
    12,564/19,464 = 19,464/x
  3. Step 3: Cross multiply
    12,564x = 19,464 × 19,464
  4. Step 4: Simplify right side
    12,564x = 378,847,296
  5. Step 5: Solve for x
    x = 378,847,296/12,564
  6. Step 6: Final answer
    x = 30,153.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.