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Finding the Third Proportional to 30,683.50 and 47,146.51

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Solution

The third proportional to 30,683.50 and 47,146.51 is: 72,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.50 : 47,146.51 = 47,146.51 : x
  2. Step 2: Convert to fraction form
    30,683.50/47,146.51 = 47,146.51/x
  3. Step 3: Cross multiply
    30,683.50x = 47,146.51 × 47,146.51
  4. Step 4: Simplify right side
    30,683.50x = 2,222,793,291.00
  5. Step 5: Solve for x
    x = 2,222,793,291.00/30,683.50
  6. Step 6: Final answer
    x = 72,442.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.