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Finding the Third Proportional to 12,254.50 and 26,237

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Solution

The third proportional to 12,254.50 and 26,237 is: 56,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.50 : 26,237 = 26,237 : x
  2. Step 2: Convert to fraction form
    12,254.50/26,237 = 26,237/x
  3. Step 3: Cross multiply
    12,254.50x = 26,237 × 26,237
  4. Step 4: Simplify right side
    12,254.50x = 688,380,169
  5. Step 5: Solve for x
    x = 688,380,169/12,254.50
  6. Step 6: Final answer
    x = 56,173.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.