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Finding the Third Proportional to 19,054 and 28,961

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Solution

The third proportional to 19,054 and 28,961 is: 44,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,054 : 28,961 = 28,961 : x
  2. Step 2: Convert to fraction form
    19,054/28,961 = 28,961/x
  3. Step 3: Cross multiply
    19,054x = 28,961 × 28,961
  4. Step 4: Simplify right side
    19,054x = 838,739,521
  5. Step 5: Solve for x
    x = 838,739,521/19,054
  6. Step 6: Final answer
    x = 44,019.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.