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Finding the Third Proportional to 2,598.75 and 4,807.69

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Solution

The third proportional to 2,598.75 and 4,807.69 is: 8,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.75 : 4,807.69 = 4,807.69 : x
  2. Step 2: Convert to fraction form
    2,598.75/4,807.69 = 4,807.69/x
  3. Step 3: Cross multiply
    2,598.75x = 4,807.69 × 4,807.69
  4. Step 4: Simplify right side
    2,598.75x = 23,113,859.10
  5. Step 5: Solve for x
    x = 23,113,859.10/2,598.75
  6. Step 6: Final answer
    x = 8,894.22

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.