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Finding the Third Proportional to 8,577 and 9,931.50

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Solution

The third proportional to 8,577 and 9,931.50 is: 11,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 9,931.50 = 9,931.50 : x
  2. Step 2: Convert to fraction form
    8,577/9,931.50 = 9,931.50/x
  3. Step 3: Cross multiply
    8,577x = 9,931.50 × 9,931.50
  4. Step 4: Simplify right side
    8,577x = 98,634,692.25
  5. Step 5: Solve for x
    x = 98,634,692.25/8,577
  6. Step 6: Final answer
    x = 11,499.91

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.