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Finding the Third Proportional to 14,710 and 22,202

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Solution

The third proportional to 14,710 and 22,202 is: 33,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710 : 22,202 = 22,202 : x
  2. Step 2: Convert to fraction form
    14,710/22,202 = 22,202/x
  3. Step 3: Cross multiply
    14,710x = 22,202 × 22,202
  4. Step 4: Simplify right side
    14,710x = 492,928,804
  5. Step 5: Solve for x
    x = 492,928,804/14,710
  6. Step 6: Final answer
    x = 33,509.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.