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Finding the Third Proportional to 8,136 and 13,590

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Solution

The third proportional to 8,136 and 13,590 is: 22,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 13,590 = 13,590 : x
  2. Step 2: Convert to fraction form
    8,136/13,590 = 13,590/x
  3. Step 3: Cross multiply
    8,136x = 13,590 × 13,590
  4. Step 4: Simplify right side
    8,136x = 184,688,100
  5. Step 5: Solve for x
    x = 184,688,100/8,136
  6. Step 6: Final answer
    x = 22,700.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.