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Finding the Third Proportional to 970.88 and 1,803.94

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Solution

The third proportional to 970.88 and 1,803.94 is: 3,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.88 : 1,803.94 = 1,803.94 : x
  2. Step 2: Convert to fraction form
    970.88/1,803.94 = 1,803.94/x
  3. Step 3: Cross multiply
    970.88x = 1,803.94 × 1,803.94
  4. Step 4: Simplify right side
    970.88x = 3,254,190.50
  5. Step 5: Solve for x
    x = 3,254,190.50/970.88
  6. Step 6: Final answer
    x = 3,351.81

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.