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Finding the Third Proportional to 31,140 and 46,791

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Solution

The third proportional to 31,140 and 46,791 is: 70,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140 : 46,791 = 46,791 : x
  2. Step 2: Convert to fraction form
    31,140/46,791 = 46,791/x
  3. Step 3: Cross multiply
    31,140x = 46,791 × 46,791
  4. Step 4: Simplify right side
    31,140x = 2,189,397,681
  5. Step 5: Solve for x
    x = 2,189,397,681/31,140
  6. Step 6: Final answer
    x = 70,308.21

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Why These Related Problems?

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