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Finding the Third Proportional to 14,497 and 30,071

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Solution

The third proportional to 14,497 and 30,071 is: 62,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497 : 30,071 = 30,071 : x
  2. Step 2: Convert to fraction form
    14,497/30,071 = 30,071/x
  3. Step 3: Cross multiply
    14,497x = 30,071 × 30,071
  4. Step 4: Simplify right side
    14,497x = 904,265,041
  5. Step 5: Solve for x
    x = 904,265,041/14,497
  6. Step 6: Final answer
    x = 62,376.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.