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Finding the Third Proportional to 1,409.63 and 2,053.13

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Solution

The third proportional to 1,409.63 and 2,053.13 is: 2,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.63 : 2,053.13 = 2,053.13 : x
  2. Step 2: Convert to fraction form
    1,409.63/2,053.13 = 2,053.13/x
  3. Step 3: Cross multiply
    1,409.63x = 2,053.13 × 2,053.13
  4. Step 4: Simplify right side
    1,409.63x = 4,215,322.27
  5. Step 5: Solve for x
    x = 4,215,322.27/1,409.63
  6. Step 6: Final answer
    x = 2,990.39

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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.