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Finding the Third Proportional to 30,926.81 and 47,005.31

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Solution

The third proportional to 30,926.81 and 47,005.31 is: 71,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926.81 : 47,005.31 = 47,005.31 : x
  2. Step 2: Convert to fraction form
    30,926.81/47,005.31 = 47,005.31/x
  3. Step 3: Cross multiply
    30,926.81x = 47,005.31 × 47,005.31
  4. Step 4: Simplify right side
    30,926.81x = 2,209,499,403.22
  5. Step 5: Solve for x
    x = 2,209,499,403.22/30,926.81
  6. Step 6: Final answer
    x = 71,442.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.