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Finding the Third Proportional to 9,564 and 14,774

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Solution

The third proportional to 9,564 and 14,774 is: 22,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 14,774 = 14,774 : x
  2. Step 2: Convert to fraction form
    9,564/14,774 = 14,774/x
  3. Step 3: Cross multiply
    9,564x = 14,774 × 14,774
  4. Step 4: Simplify right side
    9,564x = 218,271,076
  5. Step 5: Solve for x
    x = 218,271,076/9,564
  6. Step 6: Final answer
    x = 22,822.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.