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Finding the Third Proportional to 10,756.50 and 23,152.50

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Solution

The third proportional to 10,756.50 and 23,152.50 is: 49,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.50 : 23,152.50 = 23,152.50 : x
  2. Step 2: Convert to fraction form
    10,756.50/23,152.50 = 23,152.50/x
  3. Step 3: Cross multiply
    10,756.50x = 23,152.50 × 23,152.50
  4. Step 4: Simplify right side
    10,756.50x = 536,038,256.25
  5. Step 5: Solve for x
    x = 536,038,256.25/10,756.50
  6. Step 6: Final answer
    x = 49,833.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.