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Finding the Third Proportional to 19,599 and 29,859.19

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Solution

The third proportional to 19,599 and 29,859.19 is: 45,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,599 : 29,859.19 = 29,859.19 : x
  2. Step 2: Convert to fraction form
    19,599/29,859.19 = 29,859.19/x
  3. Step 3: Cross multiply
    19,599x = 29,859.19 × 29,859.19
  4. Step 4: Simplify right side
    19,599x = 891,571,078.16
  5. Step 5: Solve for x
    x = 891,571,078.16/19,599
  6. Step 6: Final answer
    x = 45,490.64

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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.