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Finding the Third Proportional to 30,846.09 and 46,496.81

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Solution

The third proportional to 30,846.09 and 46,496.81 is: 70,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.09 : 46,496.81 = 46,496.81 : x
  2. Step 2: Convert to fraction form
    30,846.09/46,496.81 = 46,496.81/x
  3. Step 3: Cross multiply
    30,846.09x = 46,496.81 × 46,496.81
  4. Step 4: Simplify right side
    30,846.09x = 2,161,953,572.66
  5. Step 5: Solve for x
    x = 2,161,953,572.66/30,846.09
  6. Step 6: Final answer
    x = 70,088.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.