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Finding the Third Proportional to 13,730 and 20,643

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Solution

The third proportional to 13,730 and 20,643 is: 31,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730 : 20,643 = 20,643 : x
  2. Step 2: Convert to fraction form
    13,730/20,643 = 20,643/x
  3. Step 3: Cross multiply
    13,730x = 20,643 × 20,643
  4. Step 4: Simplify right side
    13,730x = 426,133,449
  5. Step 5: Solve for x
    x = 426,133,449/13,730
  6. Step 6: Final answer
    x = 31,036.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.