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Finding the Third Proportional to 985.29 and 2,124.35

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Solution

The third proportional to 985.29 and 2,124.35 is: 4,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.29 : 2,124.35 = 2,124.35 : x
  2. Step 2: Convert to fraction form
    985.29/2,124.35 = 2,124.35/x
  3. Step 3: Cross multiply
    985.29x = 2,124.35 × 2,124.35
  4. Step 4: Simplify right side
    985.29x = 4,512,869.56
  5. Step 5: Solve for x
    x = 4,512,869.56/985.29
  6. Step 6: Final answer
    x = 4,580.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.