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Finding the Third Proportional to 15,496 and 24,028

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Solution

The third proportional to 15,496 and 24,028 is: 37,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 24,028 = 24,028 : x
  2. Step 2: Convert to fraction form
    15,496/24,028 = 24,028/x
  3. Step 3: Cross multiply
    15,496x = 24,028 × 24,028
  4. Step 4: Simplify right side
    15,496x = 577,344,784
  5. Step 5: Solve for x
    x = 577,344,784/15,496
  6. Step 6: Final answer
    x = 37,257.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.