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Finding the Third Proportional to 14,569.50 and 31,263

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Solution

The third proportional to 14,569.50 and 31,263 is: 67,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.50 : 31,263 = 31,263 : x
  2. Step 2: Convert to fraction form
    14,569.50/31,263 = 31,263/x
  3. Step 3: Cross multiply
    14,569.50x = 31,263 × 31,263
  4. Step 4: Simplify right side
    14,569.50x = 977,375,169
  5. Step 5: Solve for x
    x = 977,375,169/14,569.50
  6. Step 6: Final answer
    x = 67,083.65

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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.