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Finding the Third Proportional to 455.06 and 975.05

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Solution

The third proportional to 455.06 and 975.05 is: 2,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 975.05 = 975.05 : x
  2. Step 2: Convert to fraction form
    455.06/975.05 = 975.05/x
  3. Step 3: Cross multiply
    455.06x = 975.05 × 975.05
  4. Step 4: Simplify right side
    455.06x = 950,716.41
  5. Step 5: Solve for x
    x = 950,716.41/455.06
  6. Step 6: Final answer
    x = 2,089.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.