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Finding the Third Proportional to 442.92 and 971.06

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Solution

The third proportional to 442.92 and 971.06 is: 2,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 971.06 = 971.06 : x
  2. Step 2: Convert to fraction form
    442.92/971.06 = 971.06/x
  3. Step 3: Cross multiply
    442.92x = 971.06 × 971.06
  4. Step 4: Simplify right side
    442.92x = 942,962.38
  5. Step 5: Solve for x
    x = 942,962.38/442.92
  6. Step 6: Final answer
    x = 2,128.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.