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Finding the Third Proportional to 11,140 and 26,897

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Solution

The third proportional to 11,140 and 26,897 is: 64,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140 : 26,897 = 26,897 : x
  2. Step 2: Convert to fraction form
    11,140/26,897 = 26,897/x
  3. Step 3: Cross multiply
    11,140x = 26,897 × 26,897
  4. Step 4: Simplify right side
    11,140x = 723,448,609
  5. Step 5: Solve for x
    x = 723,448,609/11,140
  6. Step 6: Final answer
    x = 64,941.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.