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Finding the Third Proportional to 30,113 and 46,837.50

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Solution

The third proportional to 30,113 and 46,837.50 is: 72,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,113 : 46,837.50 = 46,837.50 : x
  2. Step 2: Convert to fraction form
    30,113/46,837.50 = 46,837.50/x
  3. Step 3: Cross multiply
    30,113x = 46,837.50 × 46,837.50
  4. Step 4: Simplify right side
    30,113x = 2,193,751,406.25
  5. Step 5: Solve for x
    x = 2,193,751,406.25/30,113
  6. Step 6: Final answer
    x = 72,850.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.