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Finding the Third Proportional to 12,242 and 26,428

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Solution

The third proportional to 12,242 and 26,428 is: 57,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242 : 26,428 = 26,428 : x
  2. Step 2: Convert to fraction form
    12,242/26,428 = 26,428/x
  3. Step 3: Cross multiply
    12,242x = 26,428 × 26,428
  4. Step 4: Simplify right side
    12,242x = 698,439,184
  5. Step 5: Solve for x
    x = 698,439,184/12,242
  6. Step 6: Final answer
    x = 57,052.70

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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.