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Finding the Third Proportional to 30,298.50 and 62,106.75

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Solution

The third proportional to 30,298.50 and 62,106.75 is: 127,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.50 : 62,106.75 = 62,106.75 : x
  2. Step 2: Convert to fraction form
    30,298.50/62,106.75 = 62,106.75/x
  3. Step 3: Cross multiply
    30,298.50x = 62,106.75 × 62,106.75
  4. Step 4: Simplify right side
    30,298.50x = 3,857,248,395.56
  5. Step 5: Solve for x
    x = 3,857,248,395.56/30,298.50
  6. Step 6: Final answer
    x = 127,308.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.