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Finding the Third Proportional to 10,825.50 and 22,987.50

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Solution

The third proportional to 10,825.50 and 22,987.50 is: 48,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.50 : 22,987.50 = 22,987.50 : x
  2. Step 2: Convert to fraction form
    10,825.50/22,987.50 = 22,987.50/x
  3. Step 3: Cross multiply
    10,825.50x = 22,987.50 × 22,987.50
  4. Step 4: Simplify right side
    10,825.50x = 528,425,156.25
  5. Step 5: Solve for x
    x = 528,425,156.25/10,825.50
  6. Step 6: Final answer
    x = 48,813.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.