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Finding the Third Proportional to 797.06 and 1,877.06

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Solution

The third proportional to 797.06 and 1,877.06 is: 4,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.06 : 1,877.06 = 1,877.06 : x
  2. Step 2: Convert to fraction form
    797.06/1,877.06 = 1,877.06/x
  3. Step 3: Cross multiply
    797.06x = 1,877.06 × 1,877.06
  4. Step 4: Simplify right side
    797.06x = 3,523,363.63
  5. Step 5: Solve for x
    x = 3,523,363.63/797.06
  6. Step 6: Final answer
    x = 4,420.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.