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Finding the Third Proportional to 19,824 and 29,188.13

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Solution

The third proportional to 19,824 and 29,188.13 is: 42,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 29,188.13 = 29,188.13 : x
  2. Step 2: Convert to fraction form
    19,824/29,188.13 = 29,188.13/x
  3. Step 3: Cross multiply
    19,824x = 29,188.13 × 29,188.13
  4. Step 4: Simplify right side
    19,824x = 851,946,641.02
  5. Step 5: Solve for x
    x = 851,946,641.02/19,824
  6. Step 6: Final answer
    x = 42,975.52

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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.