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Finding the Third Proportional to 30,862 and 46,090

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Solution

The third proportional to 30,862 and 46,090 is: 68,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862 : 46,090 = 46,090 : x
  2. Step 2: Convert to fraction form
    30,862/46,090 = 46,090/x
  3. Step 3: Cross multiply
    30,862x = 46,090 × 46,090
  4. Step 4: Simplify right side
    30,862x = 2,124,288,100
  5. Step 5: Solve for x
    x = 2,124,288,100/30,862
  6. Step 6: Final answer
    x = 68,831.84

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