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Finding the Third Proportional to 14,357 and 30,453

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Solution

The third proportional to 14,357 and 30,453 is: 64,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357 : 30,453 = 30,453 : x
  2. Step 2: Convert to fraction form
    14,357/30,453 = 30,453/x
  3. Step 3: Cross multiply
    14,357x = 30,453 × 30,453
  4. Step 4: Simplify right side
    14,357x = 927,385,209
  5. Step 5: Solve for x
    x = 927,385,209/14,357
  6. Step 6: Final answer
    x = 64,594.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.