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Finding the Third Proportional to 24,435 and 53,271

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Solution

The third proportional to 24,435 and 53,271 is: 116,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435 : 53,271 = 53,271 : x
  2. Step 2: Convert to fraction form
    24,435/53,271 = 53,271/x
  3. Step 3: Cross multiply
    24,435x = 53,271 × 53,271
  4. Step 4: Simplify right side
    24,435x = 2,837,799,441
  5. Step 5: Solve for x
    x = 2,837,799,441/24,435
  6. Step 6: Final answer
    x = 116,136.67

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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.