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Finding the Third Proportional to 9,340 and 14,426

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Solution

The third proportional to 9,340 and 14,426 is: 22,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340 : 14,426 = 14,426 : x
  2. Step 2: Convert to fraction form
    9,340/14,426 = 14,426/x
  3. Step 3: Cross multiply
    9,340x = 14,426 × 14,426
  4. Step 4: Simplify right side
    9,340x = 208,109,476
  5. Step 5: Solve for x
    x = 208,109,476/9,340
  6. Step 6: Final answer
    x = 22,281.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.