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Finding the Third Proportional to 12,454 and 19,720

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Solution

The third proportional to 12,454 and 19,720 is: 31,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454 : 19,720 = 19,720 : x
  2. Step 2: Convert to fraction form
    12,454/19,720 = 19,720/x
  3. Step 3: Cross multiply
    12,454x = 19,720 × 19,720
  4. Step 4: Simplify right side
    12,454x = 388,878,400
  5. Step 5: Solve for x
    x = 388,878,400/12,454
  6. Step 6: Final answer
    x = 31,225.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.