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Finding the Third Proportional to 10,972.50 and 23,995.50

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Solution

The third proportional to 10,972.50 and 23,995.50 is: 52,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.50 : 23,995.50 = 23,995.50 : x
  2. Step 2: Convert to fraction form
    10,972.50/23,995.50 = 23,995.50/x
  3. Step 3: Cross multiply
    10,972.50x = 23,995.50 × 23,995.50
  4. Step 4: Simplify right side
    10,972.50x = 575,784,020.25
  5. Step 5: Solve for x
    x = 575,784,020.25/10,972.50
  6. Step 6: Final answer
    x = 52,475.19

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Why These Related Problems?

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