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Finding the Third Proportional to 20,258 and 30,657

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Solution

The third proportional to 20,258 and 30,657 is: 46,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258 : 30,657 = 30,657 : x
  2. Step 2: Convert to fraction form
    20,258/30,657 = 30,657/x
  3. Step 3: Cross multiply
    20,258x = 30,657 × 30,657
  4. Step 4: Simplify right side
    20,258x = 939,851,649
  5. Step 5: Solve for x
    x = 939,851,649/20,258
  6. Step 6: Final answer
    x = 46,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.