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Finding the Third Proportional to 10,895.50 and 23,867.50

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Solution

The third proportional to 10,895.50 and 23,867.50 is: 52,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.50 : 23,867.50 = 23,867.50 : x
  2. Step 2: Convert to fraction form
    10,895.50/23,867.50 = 23,867.50/x
  3. Step 3: Cross multiply
    10,895.50x = 23,867.50 × 23,867.50
  4. Step 4: Simplify right side
    10,895.50x = 569,657,556.25
  5. Step 5: Solve for x
    x = 569,657,556.25/10,895.50
  6. Step 6: Final answer
    x = 52,283.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.