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Finding the Third Proportional to 19,745 and 31,260

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Solution

The third proportional to 19,745 and 31,260 is: 49,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745 : 31,260 = 31,260 : x
  2. Step 2: Convert to fraction form
    19,745/31,260 = 31,260/x
  3. Step 3: Cross multiply
    19,745x = 31,260 × 31,260
  4. Step 4: Simplify right side
    19,745x = 977,187,600
  5. Step 5: Solve for x
    x = 977,187,600/19,745
  6. Step 6: Final answer
    x = 49,490.38

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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.