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Finding the Third Proportional to 19,046 and 27,716

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Solution

The third proportional to 19,046 and 27,716 is: 40,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,046 : 27,716 = 27,716 : x
  2. Step 2: Convert to fraction form
    19,046/27,716 = 27,716/x
  3. Step 3: Cross multiply
    19,046x = 27,716 × 27,716
  4. Step 4: Simplify right side
    19,046x = 768,176,656
  5. Step 5: Solve for x
    x = 768,176,656/19,046
  6. Step 6: Final answer
    x = 40,332.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.