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Finding the Third Proportional to 20,008 and 28,594

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Solution

The third proportional to 20,008 and 28,594 is: 40,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008 : 28,594 = 28,594 : x
  2. Step 2: Convert to fraction form
    20,008/28,594 = 28,594/x
  3. Step 3: Cross multiply
    20,008x = 28,594 × 28,594
  4. Step 4: Simplify right side
    20,008x = 817,616,836
  5. Step 5: Solve for x
    x = 817,616,836/20,008
  6. Step 6: Final answer
    x = 40,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.