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Finding the Third Proportional to 14,566.50 and 31,257

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Solution

The third proportional to 14,566.50 and 31,257 is: 67,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.50 : 31,257 = 31,257 : x
  2. Step 2: Convert to fraction form
    14,566.50/31,257 = 31,257/x
  3. Step 3: Cross multiply
    14,566.50x = 31,257 × 31,257
  4. Step 4: Simplify right side
    14,566.50x = 977,000,049
  5. Step 5: Solve for x
    x = 977,000,049/14,566.50
  6. Step 6: Final answer
    x = 67,071.71

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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.