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Finding the Third Proportional to 11,312 and 17,262

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Solution

The third proportional to 11,312 and 17,262 is: 26,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312 : 17,262 = 17,262 : x
  2. Step 2: Convert to fraction form
    11,312/17,262 = 17,262/x
  3. Step 3: Cross multiply
    11,312x = 17,262 × 17,262
  4. Step 4: Simplify right side
    11,312x = 297,976,644
  5. Step 5: Solve for x
    x = 297,976,644/11,312
  6. Step 6: Final answer
    x = 26,341.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.