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Finding the Third Proportional to 12,468.19 and 26,664.38

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Solution

The third proportional to 12,468.19 and 26,664.38 is: 57,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.19 : 26,664.38 = 26,664.38 : x
  2. Step 2: Convert to fraction form
    12,468.19/26,664.38 = 26,664.38/x
  3. Step 3: Cross multiply
    12,468.19x = 26,664.38 × 26,664.38
  4. Step 4: Simplify right side
    12,468.19x = 710,988,894.14
  5. Step 5: Solve for x
    x = 710,988,894.14/12,468.19
  6. Step 6: Final answer
    x = 57,024.24

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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.