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Finding the Third Proportional to 14,058 and 15,300

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Solution

The third proportional to 14,058 and 15,300 is: 16,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058 : 15,300 = 15,300 : x
  2. Step 2: Convert to fraction form
    14,058/15,300 = 15,300/x
  3. Step 3: Cross multiply
    14,058x = 15,300 × 15,300
  4. Step 4: Simplify right side
    14,058x = 234,090,000
  5. Step 5: Solve for x
    x = 234,090,000/14,058
  6. Step 6: Final answer
    x = 16,651.73

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.