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Finding the Third Proportional to 12,370 and 26,468

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Solution

The third proportional to 12,370 and 26,468 is: 56,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370 : 26,468 = 26,468 : x
  2. Step 2: Convert to fraction form
    12,370/26,468 = 26,468/x
  3. Step 3: Cross multiply
    12,370x = 26,468 × 26,468
  4. Step 4: Simplify right side
    12,370x = 700,555,024
  5. Step 5: Solve for x
    x = 700,555,024/12,370
  6. Step 6: Final answer
    x = 56,633.39

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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.