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Finding the Third Proportional to 30,043 and 45,712.50

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Solution

The third proportional to 30,043 and 45,712.50 is: 69,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043 : 45,712.50 = 45,712.50 : x
  2. Step 2: Convert to fraction form
    30,043/45,712.50 = 45,712.50/x
  3. Step 3: Cross multiply
    30,043x = 45,712.50 × 45,712.50
  4. Step 4: Simplify right side
    30,043x = 2,089,632,656.25
  5. Step 5: Solve for x
    x = 2,089,632,656.25/30,043
  6. Step 6: Final answer
    x = 69,554.73

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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.