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Finding the Third Proportional to 10,764 and 13,590

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Solution

The third proportional to 10,764 and 13,590 is: 17,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 13,590 = 13,590 : x
  2. Step 2: Convert to fraction form
    10,764/13,590 = 13,590/x
  3. Step 3: Cross multiply
    10,764x = 13,590 × 13,590
  4. Step 4: Simplify right side
    10,764x = 184,688,100
  5. Step 5: Solve for x
    x = 184,688,100/10,764
  6. Step 6: Final answer
    x = 17,157.94

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.