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Finding the Third Proportional to 19,196 and 29,258

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Solution

The third proportional to 19,196 and 29,258 is: 44,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196 : 29,258 = 29,258 : x
  2. Step 2: Convert to fraction form
    19,196/29,258 = 29,258/x
  3. Step 3: Cross multiply
    19,196x = 29,258 × 29,258
  4. Step 4: Simplify right side
    19,196x = 856,030,564
  5. Step 5: Solve for x
    x = 856,030,564/19,196
  6. Step 6: Final answer
    x = 44,594.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.