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Finding the Third Proportional to 12,136 and 26,407

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Solution

The third proportional to 12,136 and 26,407 is: 57,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136 : 26,407 = 26,407 : x
  2. Step 2: Convert to fraction form
    12,136/26,407 = 26,407/x
  3. Step 3: Cross multiply
    12,136x = 26,407 × 26,407
  4. Step 4: Simplify right side
    12,136x = 697,329,649
  5. Step 5: Solve for x
    x = 697,329,649/12,136
  6. Step 6: Final answer
    x = 57,459.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.