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Finding the Third Proportional to 1,053.84 and 2,556.14

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Solution

The third proportional to 1,053.84 and 2,556.14 is: 6,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.84 : 2,556.14 = 2,556.14 : x
  2. Step 2: Convert to fraction form
    1,053.84/2,556.14 = 2,556.14/x
  3. Step 3: Cross multiply
    1,053.84x = 2,556.14 × 2,556.14
  4. Step 4: Simplify right side
    1,053.84x = 6,533,854.89
  5. Step 5: Solve for x
    x = 6,533,854.89/1,053.84
  6. Step 6: Final answer
    x = 6,200.02

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.