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Finding the Third Proportional to 10,703.25 and 25,276.50

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Solution

The third proportional to 10,703.25 and 25,276.50 is: 59,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.25 : 25,276.50 = 25,276.50 : x
  2. Step 2: Convert to fraction form
    10,703.25/25,276.50 = 25,276.50/x
  3. Step 3: Cross multiply
    10,703.25x = 25,276.50 × 25,276.50
  4. Step 4: Simplify right side
    10,703.25x = 638,901,452.25
  5. Step 5: Solve for x
    x = 638,901,452.25/10,703.25
  6. Step 6: Final answer
    x = 59,692.29

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.