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Finding the Third Proportional to 31,280 and 46,924

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Solution

The third proportional to 31,280 and 46,924 is: 70,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,280 : 46,924 = 46,924 : x
  2. Step 2: Convert to fraction form
    31,280/46,924 = 46,924/x
  3. Step 3: Cross multiply
    31,280x = 46,924 × 46,924
  4. Step 4: Simplify right side
    31,280x = 2,201,861,776
  5. Step 5: Solve for x
    x = 2,201,861,776/31,280
  6. Step 6: Final answer
    x = 70,392.00

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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.