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Finding the Third Proportional to 9,871.88 and 15,692.48

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Solution

The third proportional to 9,871.88 and 15,692.48 is: 24,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.88 : 15,692.48 = 15,692.48 : x
  2. Step 2: Convert to fraction form
    9,871.88/15,692.48 = 15,692.48/x
  3. Step 3: Cross multiply
    9,871.88x = 15,692.48 × 15,692.48
  4. Step 4: Simplify right side
    9,871.88x = 246,254,065.86
  5. Step 5: Solve for x
    x = 246,254,065.86/9,871.88
  6. Step 6: Final answer
    x = 24,945.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.