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Finding the Third Proportional to 19,026 and 28,437.75

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Solution

The third proportional to 19,026 and 28,437.75 is: 42,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,026 : 28,437.75 = 28,437.75 : x
  2. Step 2: Convert to fraction form
    19,026/28,437.75 = 28,437.75/x
  3. Step 3: Cross multiply
    19,026x = 28,437.75 × 28,437.75
  4. Step 4: Simplify right side
    19,026x = 808,705,625.06
  5. Step 5: Solve for x
    x = 808,705,625.06/19,026
  6. Step 6: Final answer
    x = 42,505.29

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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.