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Finding the Third Proportional to 19,258 and 29,739

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Solution

The third proportional to 19,258 and 29,739 is: 45,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258 : 29,739 = 29,739 : x
  2. Step 2: Convert to fraction form
    19,258/29,739 = 29,739/x
  3. Step 3: Cross multiply
    19,258x = 29,739 × 29,739
  4. Step 4: Simplify right side
    19,258x = 884,408,121
  5. Step 5: Solve for x
    x = 884,408,121/19,258
  6. Step 6: Final answer
    x = 45,924.19

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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.