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Finding the Third Proportional to 5,206 and 7,419.63

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Solution

The third proportional to 5,206 and 7,419.63 is: 10,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 7,419.63 = 7,419.63 : x
  2. Step 2: Convert to fraction form
    5,206/7,419.63 = 7,419.63/x
  3. Step 3: Cross multiply
    5,206x = 7,419.63 × 7,419.63
  4. Step 4: Simplify right side
    5,206x = 55,050,835.14
  5. Step 5: Solve for x
    x = 55,050,835.14/5,206
  6. Step 6: Final answer
    x = 10,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.