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Finding the Third Proportional to 14,098 and 30,148

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Solution

The third proportional to 14,098 and 30,148 is: 64,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098 : 30,148 = 30,148 : x
  2. Step 2: Convert to fraction form
    14,098/30,148 = 30,148/x
  3. Step 3: Cross multiply
    14,098x = 30,148 × 30,148
  4. Step 4: Simplify right side
    14,098x = 908,901,904
  5. Step 5: Solve for x
    x = 908,901,904/14,098
  6. Step 6: Final answer
    x = 64,470.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.