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Finding the Third Proportional to 19,249 and 28,594

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Solution

The third proportional to 19,249 and 28,594 is: 42,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,249 : 28,594 = 28,594 : x
  2. Step 2: Convert to fraction form
    19,249/28,594 = 28,594/x
  3. Step 3: Cross multiply
    19,249x = 28,594 × 28,594
  4. Step 4: Simplify right side
    19,249x = 817,616,836
  5. Step 5: Solve for x
    x = 817,616,836/19,249
  6. Step 6: Final answer
    x = 42,475.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.