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Finding the Third Proportional to 509.55 and 1,093.15

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Solution

The third proportional to 509.55 and 1,093.15 is: 2,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.55 : 1,093.15 = 1,093.15 : x
  2. Step 2: Convert to fraction form
    509.55/1,093.15 = 1,093.15/x
  3. Step 3: Cross multiply
    509.55x = 1,093.15 × 1,093.15
  4. Step 4: Simplify right side
    509.55x = 1,194,973.51
  5. Step 5: Solve for x
    x = 1,194,973.51/509.55
  6. Step 6: Final answer
    x = 2,345.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.