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Finding the Third Proportional to 14,604 and 27,372

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Solution

The third proportional to 14,604 and 27,372 is: 51,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604 : 27,372 = 27,372 : x
  2. Step 2: Convert to fraction form
    14,604/27,372 = 27,372/x
  3. Step 3: Cross multiply
    14,604x = 27,372 × 27,372
  4. Step 4: Simplify right side
    14,604x = 749,226,384
  5. Step 5: Solve for x
    x = 749,226,384/14,604
  6. Step 6: Final answer
    x = 51,302.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.