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Finding the Third Proportional to 14,266.76 and 31,173.29

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Solution

The third proportional to 14,266.76 and 31,173.29 is: 68,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.76 : 31,173.29 = 31,173.29 : x
  2. Step 2: Convert to fraction form
    14,266.76/31,173.29 = 31,173.29/x
  3. Step 3: Cross multiply
    14,266.76x = 31,173.29 × 31,173.29
  4. Step 4: Simplify right side
    14,266.76x = 971,774,194.52
  5. Step 5: Solve for x
    x = 971,774,194.52/14,266.76
  6. Step 6: Final answer
    x = 68,114.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.