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Finding the Third Proportional to 23,547 and 50,941.50

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Solution

The third proportional to 23,547 and 50,941.50 is: 110,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547 : 50,941.50 = 50,941.50 : x
  2. Step 2: Convert to fraction form
    23,547/50,941.50 = 50,941.50/x
  3. Step 3: Cross multiply
    23,547x = 50,941.50 × 50,941.50
  4. Step 4: Simplify right side
    23,547x = 2,595,036,422.25
  5. Step 5: Solve for x
    x = 2,595,036,422.25/23,547
  6. Step 6: Final answer
    x = 110,206.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.