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Finding the Third Proportional to 12,137.34 and 26,461.69

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Solution

The third proportional to 12,137.34 and 26,461.69 is: 57,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.34 : 26,461.69 = 26,461.69 : x
  2. Step 2: Convert to fraction form
    12,137.34/26,461.69 = 26,461.69/x
  3. Step 3: Cross multiply
    12,137.34x = 26,461.69 × 26,461.69
  4. Step 4: Simplify right side
    12,137.34x = 700,220,905.35
  5. Step 5: Solve for x
    x = 700,220,905.35/12,137.34
  6. Step 6: Final answer
    x = 57,691.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.