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Finding the Third Proportional to 19,977 and 28,776

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Solution

The third proportional to 19,977 and 28,776 is: 41,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 28,776 = 28,776 : x
  2. Step 2: Convert to fraction form
    19,977/28,776 = 28,776/x
  3. Step 3: Cross multiply
    19,977x = 28,776 × 28,776
  4. Step 4: Simplify right side
    19,977x = 828,058,176
  5. Step 5: Solve for x
    x = 828,058,176/19,977
  6. Step 6: Final answer
    x = 41,450.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.