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Finding the Third Proportional to 900.70 and 2,442.66

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Solution

The third proportional to 900.70 and 2,442.66 is: 6,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.70 : 2,442.66 = 2,442.66 : x
  2. Step 2: Convert to fraction form
    900.70/2,442.66 = 2,442.66/x
  3. Step 3: Cross multiply
    900.70x = 2,442.66 × 2,442.66
  4. Step 4: Simplify right side
    900.70x = 5,966,569.56
  5. Step 5: Solve for x
    x = 5,966,569.56/900.70
  6. Step 6: Final answer
    x = 6,624.35

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.