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Finding the Third Proportional to 14,564 and 19,560

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Solution

The third proportional to 14,564 and 19,560 is: 26,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564 : 19,560 = 19,560 : x
  2. Step 2: Convert to fraction form
    14,564/19,560 = 19,560/x
  3. Step 3: Cross multiply
    14,564x = 19,560 × 19,560
  4. Step 4: Simplify right side
    14,564x = 382,593,600
  5. Step 5: Solve for x
    x = 382,593,600/14,564
  6. Step 6: Final answer
    x = 26,269.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.