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Finding the Third Proportional to 902.18 and 970.52

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Solution

The third proportional to 902.18 and 970.52 is: 1,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.18 : 970.52 = 970.52 : x
  2. Step 2: Convert to fraction form
    902.18/970.52 = 970.52/x
  3. Step 3: Cross multiply
    902.18x = 970.52 × 970.52
  4. Step 4: Simplify right side
    902.18x = 941,915.74
  5. Step 5: Solve for x
    x = 941,915.74/902.18
  6. Step 6: Final answer
    x = 1,044.04

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.