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Finding the Third Proportional to 19,005 and 28,365

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Solution

The third proportional to 19,005 and 28,365 is: 42,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005 : 28,365 = 28,365 : x
  2. Step 2: Convert to fraction form
    19,005/28,365 = 28,365/x
  3. Step 3: Cross multiply
    19,005x = 28,365 × 28,365
  4. Step 4: Simplify right side
    19,005x = 804,573,225
  5. Step 5: Solve for x
    x = 804,573,225/19,005
  6. Step 6: Final answer
    x = 42,334.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.