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Finding the Third Proportional to 11,038 and 22,562

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Solution

The third proportional to 11,038 and 22,562 is: 46,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038 : 22,562 = 22,562 : x
  2. Step 2: Convert to fraction form
    11,038/22,562 = 22,562/x
  3. Step 3: Cross multiply
    11,038x = 22,562 × 22,562
  4. Step 4: Simplify right side
    11,038x = 509,043,844
  5. Step 5: Solve for x
    x = 509,043,844/11,038
  6. Step 6: Final answer
    x = 46,117.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.