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Finding the Third Proportional to 14,573 and 31,270

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Solution

The third proportional to 14,573 and 31,270 is: 67,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573 : 31,270 = 31,270 : x
  2. Step 2: Convert to fraction form
    14,573/31,270 = 31,270/x
  3. Step 3: Cross multiply
    14,573x = 31,270 × 31,270
  4. Step 4: Simplify right side
    14,573x = 977,812,900
  5. Step 5: Solve for x
    x = 977,812,900/14,573
  6. Step 6: Final answer
    x = 67,097.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.