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Finding the Third Proportional to 19,823.06 and 29,187

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Solution

The third proportional to 19,823.06 and 29,187 is: 42,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.06 : 29,187 = 29,187 : x
  2. Step 2: Convert to fraction form
    19,823.06/29,187 = 29,187/x
  3. Step 3: Cross multiply
    19,823.06x = 29,187 × 29,187
  4. Step 4: Simplify right side
    19,823.06x = 851,880,969
  5. Step 5: Solve for x
    x = 851,880,969/19,823.06
  6. Step 6: Final answer
    x = 42,974.24

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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.