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Finding the Third Proportional to 14,313 and 31,360

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Solution

The third proportional to 14,313 and 31,360 is: 68,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313 : 31,360 = 31,360 : x
  2. Step 2: Convert to fraction form
    14,313/31,360 = 31,360/x
  3. Step 3: Cross multiply
    14,313x = 31,360 × 31,360
  4. Step 4: Simplify right side
    14,313x = 983,449,600
  5. Step 5: Solve for x
    x = 983,449,600/14,313
  6. Step 6: Final answer
    x = 68,710.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.