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Finding the Third Proportional to 28,026 and 42,039

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Solution

The third proportional to 28,026 and 42,039 is: 63,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 42,039 = 42,039 : x
  2. Step 2: Convert to fraction form
    28,026/42,039 = 42,039/x
  3. Step 3: Cross multiply
    28,026x = 42,039 × 42,039
  4. Step 4: Simplify right side
    28,026x = 1,767,277,521
  5. Step 5: Solve for x
    x = 1,767,277,521/28,026
  6. Step 6: Final answer
    x = 63,058.50

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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.