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Finding the Third Proportional to 19,124.50 and 29,686

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Solution

The third proportional to 19,124.50 and 29,686 is: 46,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124.50 : 29,686 = 29,686 : x
  2. Step 2: Convert to fraction form
    19,124.50/29,686 = 29,686/x
  3. Step 3: Cross multiply
    19,124.50x = 29,686 × 29,686
  4. Step 4: Simplify right side
    19,124.50x = 881,258,596
  5. Step 5: Solve for x
    x = 881,258,596/19,124.50
  6. Step 6: Final answer
    x = 46,080.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.