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Finding the Third Proportional to 15,258 and 23,779

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Solution

The third proportional to 15,258 and 23,779 is: 37,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258 : 23,779 = 23,779 : x
  2. Step 2: Convert to fraction form
    15,258/23,779 = 23,779/x
  3. Step 3: Cross multiply
    15,258x = 23,779 × 23,779
  4. Step 4: Simplify right side
    15,258x = 565,440,841
  5. Step 5: Solve for x
    x = 565,440,841/15,258
  6. Step 6: Final answer
    x = 37,058.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.