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Finding the Third Proportional to 38,258 and 59,091

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Solution

The third proportional to 38,258 and 59,091 is: 91,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,258 : 59,091 = 59,091 : x
  2. Step 2: Convert to fraction form
    38,258/59,091 = 59,091/x
  3. Step 3: Cross multiply
    38,258x = 59,091 × 59,091
  4. Step 4: Simplify right side
    38,258x = 3,491,746,281
  5. Step 5: Solve for x
    x = 3,491,746,281/38,258
  6. Step 6: Final answer
    x = 91,268.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.