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Finding the Third Proportional to 26,784 and 38,263.50

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Solution

The third proportional to 26,784 and 38,263.50 is: 54,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 38,263.50 = 38,263.50 : x
  2. Step 2: Convert to fraction form
    26,784/38,263.50 = 38,263.50/x
  3. Step 3: Cross multiply
    26,784x = 38,263.50 × 38,263.50
  4. Step 4: Simplify right side
    26,784x = 1,464,095,432.25
  5. Step 5: Solve for x
    x = 1,464,095,432.25/26,784
  6. Step 6: Final answer
    x = 54,663.06

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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.