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Finding the Third Proportional to 31,076 and 46,614

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Solution

The third proportional to 31,076 and 46,614 is: 69,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076 : 46,614 = 46,614 : x
  2. Step 2: Convert to fraction form
    31,076/46,614 = 46,614/x
  3. Step 3: Cross multiply
    31,076x = 46,614 × 46,614
  4. Step 4: Simplify right side
    31,076x = 2,172,864,996
  5. Step 5: Solve for x
    x = 2,172,864,996/31,076
  6. Step 6: Final answer
    x = 69,921

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.