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Finding the Third Proportional to 1,407.13 and 2,056.38

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Solution

The third proportional to 1,407.13 and 2,056.38 is: 3,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.13 : 2,056.38 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    1,407.13/2,056.38 = 2,056.38/x
  3. Step 3: Cross multiply
    1,407.13x = 2,056.38 × 2,056.38
  4. Step 4: Simplify right side
    1,407.13x = 4,228,678.14
  5. Step 5: Solve for x
    x = 4,228,678.14/1,407.13
  6. Step 6: Final answer
    x = 3,005.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.