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Finding the Third Proportional to 19,824 and 29,658

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Solution

The third proportional to 19,824 and 29,658 is: 44,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 29,658 = 29,658 : x
  2. Step 2: Convert to fraction form
    19,824/29,658 = 29,658/x
  3. Step 3: Cross multiply
    19,824x = 29,658 × 29,658
  4. Step 4: Simplify right side
    19,824x = 879,596,964
  5. Step 5: Solve for x
    x = 879,596,964/19,824
  6. Step 6: Final answer
    x = 44,370.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.