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Finding the Third Proportional to 19,254 and 28,804

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Solution

The third proportional to 19,254 and 28,804 is: 43,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254 : 28,804 = 28,804 : x
  2. Step 2: Convert to fraction form
    19,254/28,804 = 28,804/x
  3. Step 3: Cross multiply
    19,254x = 28,804 × 28,804
  4. Step 4: Simplify right side
    19,254x = 829,670,416
  5. Step 5: Solve for x
    x = 829,670,416/19,254
  6. Step 6: Final answer
    x = 43,090.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.