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Finding the Third Proportional to 1,057.63 and 1,419.13

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Solution

The third proportional to 1,057.63 and 1,419.13 is: 1,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.63 : 1,419.13 = 1,419.13 : x
  2. Step 2: Convert to fraction form
    1,057.63/1,419.13 = 1,419.13/x
  3. Step 3: Cross multiply
    1,057.63x = 1,419.13 × 1,419.13
  4. Step 4: Simplify right side
    1,057.63x = 2,013,915.77
  5. Step 5: Solve for x
    x = 2,013,915.77/1,057.63
  6. Step 6: Final answer
    x = 1,904.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.