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Finding the Third Proportional to 12,271 and 26,484

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Solution

The third proportional to 12,271 and 26,484 is: 57,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271 : 26,484 = 26,484 : x
  2. Step 2: Convert to fraction form
    12,271/26,484 = 26,484/x
  3. Step 3: Cross multiply
    12,271x = 26,484 × 26,484
  4. Step 4: Simplify right side
    12,271x = 701,402,256
  5. Step 5: Solve for x
    x = 701,402,256/12,271
  6. Step 6: Final answer
    x = 57,159.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.