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Finding the Third Proportional to 19,784 and 31,548

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Solution

The third proportional to 19,784 and 31,548 is: 50,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 31,548 = 31,548 : x
  2. Step 2: Convert to fraction form
    19,784/31,548 = 31,548/x
  3. Step 3: Cross multiply
    19,784x = 31,548 × 31,548
  4. Step 4: Simplify right side
    19,784x = 995,276,304
  5. Step 5: Solve for x
    x = 995,276,304/19,784
  6. Step 6: Final answer
    x = 50,307.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.