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Finding the Third Proportional to 1,050.47 and 2,312.30

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Solution

The third proportional to 1,050.47 and 2,312.30 is: 5,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.47 : 2,312.30 = 2,312.30 : x
  2. Step 2: Convert to fraction form
    1,050.47/2,312.30 = 2,312.30/x
  3. Step 3: Cross multiply
    1,050.47x = 2,312.30 × 2,312.30
  4. Step 4: Simplify right side
    1,050.47x = 5,346,716.84
  5. Step 5: Solve for x
    x = 5,346,716.84/1,050.47
  6. Step 6: Final answer
    x = 5,089.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.