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Finding the Third Proportional to 42,883 and 65,964

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Solution

The third proportional to 42,883 and 65,964 is: 101,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,883 : 65,964 = 65,964 : x
  2. Step 2: Convert to fraction form
    42,883/65,964 = 65,964/x
  3. Step 3: Cross multiply
    42,883x = 65,964 × 65,964
  4. Step 4: Simplify right side
    42,883x = 4,351,249,296
  5. Step 5: Solve for x
    x = 4,351,249,296/42,883
  6. Step 6: Final answer
    x = 101,467.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.