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Finding the Third Proportional to 30,207 and 41,740.50

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Solution

The third proportional to 30,207 and 41,740.50 is: 57,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207 : 41,740.50 = 41,740.50 : x
  2. Step 2: Convert to fraction form
    30,207/41,740.50 = 41,740.50/x
  3. Step 3: Cross multiply
    30,207x = 41,740.50 × 41,740.50
  4. Step 4: Simplify right side
    30,207x = 1,742,269,340.25
  5. Step 5: Solve for x
    x = 1,742,269,340.25/30,207
  6. Step 6: Final answer
    x = 57,677.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.