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Finding the Third Proportional to 14,803 and 31,523

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Solution

The third proportional to 14,803 and 31,523 is: 67,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803 : 31,523 = 31,523 : x
  2. Step 2: Convert to fraction form
    14,803/31,523 = 31,523/x
  3. Step 3: Cross multiply
    14,803x = 31,523 × 31,523
  4. Step 4: Simplify right side
    14,803x = 993,699,529
  5. Step 5: Solve for x
    x = 993,699,529/14,803
  6. Step 6: Final answer
    x = 67,128.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.