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Finding the Third Proportional to 30,699 and 45,858.94

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Solution

The third proportional to 30,699 and 45,858.94 is: 68,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699 : 45,858.94 = 45,858.94 : x
  2. Step 2: Convert to fraction form
    30,699/45,858.94 = 45,858.94/x
  3. Step 3: Cross multiply
    30,699x = 45,858.94 × 45,858.94
  4. Step 4: Simplify right side
    30,699x = 2,103,042,148.63
  5. Step 5: Solve for x
    x = 2,103,042,148.63/30,699
  6. Step 6: Final answer
    x = 68,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.