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Finding the Third Proportional to 9,172 and 14,410

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Solution

The third proportional to 9,172 and 14,410 is: 22,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172 : 14,410 = 14,410 : x
  2. Step 2: Convert to fraction form
    9,172/14,410 = 14,410/x
  3. Step 3: Cross multiply
    9,172x = 14,410 × 14,410
  4. Step 4: Simplify right side
    9,172x = 207,648,100
  5. Step 5: Solve for x
    x = 207,648,100/9,172
  6. Step 6: Final answer
    x = 22,639.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.