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Finding the Third Proportional to 1,579 and 2,477.06

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Solution

The third proportional to 1,579 and 2,477.06 is: 3,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579 : 2,477.06 = 2,477.06 : x
  2. Step 2: Convert to fraction form
    1,579/2,477.06 = 2,477.06/x
  3. Step 3: Cross multiply
    1,579x = 2,477.06 × 2,477.06
  4. Step 4: Simplify right side
    1,579x = 6,135,838.63
  5. Step 5: Solve for x
    x = 6,135,838.63/1,579
  6. Step 6: Final answer
    x = 3,885.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.