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Finding the Third Proportional to 977.48 and 1,841.06

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Solution

The third proportional to 977.48 and 1,841.06 is: 3,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,841.06 = 1,841.06 : x
  2. Step 2: Convert to fraction form
    977.48/1,841.06 = 1,841.06/x
  3. Step 3: Cross multiply
    977.48x = 1,841.06 × 1,841.06
  4. Step 4: Simplify right side
    977.48x = 3,389,511.13
  5. Step 5: Solve for x
    x = 3,389,511.13/977.48
  6. Step 6: Final answer
    x = 3,467.59

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.