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Finding the Third Proportional to 10,564 and 14,190

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Solution

The third proportional to 10,564 and 14,190 is: 19,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564 : 14,190 = 14,190 : x
  2. Step 2: Convert to fraction form
    10,564/14,190 = 14,190/x
  3. Step 3: Cross multiply
    10,564x = 14,190 × 14,190
  4. Step 4: Simplify right side
    10,564x = 201,356,100
  5. Step 5: Solve for x
    x = 201,356,100/10,564
  6. Step 6: Final answer
    x = 19,060.59

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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.