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Finding the Third Proportional to 11,402 and 26,385

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Solution

The third proportional to 11,402 and 26,385 is: 61,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 26,385 = 26,385 : x
  2. Step 2: Convert to fraction form
    11,402/26,385 = 26,385/x
  3. Step 3: Cross multiply
    11,402x = 26,385 × 26,385
  4. Step 4: Simplify right side
    11,402x = 696,168,225
  5. Step 5: Solve for x
    x = 696,168,225/11,402
  6. Step 6: Final answer
    x = 61,056.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.