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Finding the Third Proportional to 19,701 and 28,709

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Solution

The third proportional to 19,701 and 28,709 is: 41,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 28,709 = 28,709 : x
  2. Step 2: Convert to fraction form
    19,701/28,709 = 28,709/x
  3. Step 3: Cross multiply
    19,701x = 28,709 × 28,709
  4. Step 4: Simplify right side
    19,701x = 824,206,681
  5. Step 5: Solve for x
    x = 824,206,681/19,701
  6. Step 6: Final answer
    x = 41,835.78

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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.