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Finding the Third Proportional to 1,056.48 and 2,222.12

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Solution

The third proportional to 1,056.48 and 2,222.12 is: 4,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.48 : 2,222.12 = 2,222.12 : x
  2. Step 2: Convert to fraction form
    1,056.48/2,222.12 = 2,222.12/x
  3. Step 3: Cross multiply
    1,056.48x = 2,222.12 × 2,222.12
  4. Step 4: Simplify right side
    1,056.48x = 4,937,822.16
  5. Step 5: Solve for x
    x = 4,937,822.16/1,056.48
  6. Step 6: Final answer
    x = 4,673.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.