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Finding the Third Proportional to 1,030.85 and 1,469.39

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Solution

The third proportional to 1,030.85 and 1,469.39 is: 2,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.85 : 1,469.39 = 1,469.39 : x
  2. Step 2: Convert to fraction form
    1,030.85/1,469.39 = 1,469.39/x
  3. Step 3: Cross multiply
    1,030.85x = 1,469.39 × 1,469.39
  4. Step 4: Simplify right side
    1,030.85x = 2,159,108.81
  5. Step 5: Solve for x
    x = 2,159,108.81/1,030.85
  6. Step 6: Final answer
    x = 2,094.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.