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Finding the Third Proportional to 22,858 and 46,352

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Solution

The third proportional to 22,858 and 46,352 is: 93,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858 : 46,352 = 46,352 : x
  2. Step 2: Convert to fraction form
    22,858/46,352 = 46,352/x
  3. Step 3: Cross multiply
    22,858x = 46,352 × 46,352
  4. Step 4: Simplify right side
    22,858x = 2,148,507,904
  5. Step 5: Solve for x
    x = 2,148,507,904/22,858
  6. Step 6: Final answer
    x = 93,993.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.