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Finding the Third Proportional to 19,828.75 and 29,194.88

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Solution

The third proportional to 19,828.75 and 29,194.88 is: 42,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.75 : 29,194.88 = 29,194.88 : x
  2. Step 2: Convert to fraction form
    19,828.75/29,194.88 = 29,194.88/x
  3. Step 3: Cross multiply
    19,828.75x = 29,194.88 × 29,194.88
  4. Step 4: Simplify right side
    19,828.75x = 852,340,726.27
  5. Step 5: Solve for x
    x = 852,340,726.27/19,828.75
  6. Step 6: Final answer
    x = 42,985.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.