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Finding the Third Proportional to 14,898 and 17,058

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Solution

The third proportional to 14,898 and 17,058 is: 19,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898 : 17,058 = 17,058 : x
  2. Step 2: Convert to fraction form
    14,898/17,058 = 17,058/x
  3. Step 3: Cross multiply
    14,898x = 17,058 × 17,058
  4. Step 4: Simplify right side
    14,898x = 290,975,364
  5. Step 5: Solve for x
    x = 290,975,364/14,898
  6. Step 6: Final answer
    x = 19,531.17

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.