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Finding the Third Proportional to 47,911 and 65,095

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Solution

The third proportional to 47,911 and 65,095 is: 88,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,911 : 65,095 = 65,095 : x
  2. Step 2: Convert to fraction form
    47,911/65,095 = 65,095/x
  3. Step 3: Cross multiply
    47,911x = 65,095 × 65,095
  4. Step 4: Simplify right side
    47,911x = 4,237,359,025
  5. Step 5: Solve for x
    x = 4,237,359,025/47,911
  6. Step 6: Final answer
    x = 88,442.30

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.