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Finding the Third Proportional to 30,790.23 and 46,322.03

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Solution

The third proportional to 30,790.23 and 46,322.03 is: 69,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.23 : 46,322.03 = 46,322.03 : x
  2. Step 2: Convert to fraction form
    30,790.23/46,322.03 = 46,322.03/x
  3. Step 3: Cross multiply
    30,790.23x = 46,322.03 × 46,322.03
  4. Step 4: Simplify right side
    30,790.23x = 2,145,730,760.07
  5. Step 5: Solve for x
    x = 2,145,730,760.07/30,790.23
  6. Step 6: Final answer
    x = 69,688.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.