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Finding the Third Proportional to 26,022.50 and 38,962.50

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Solution

The third proportional to 26,022.50 and 38,962.50 is: 58,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022.50 : 38,962.50 = 38,962.50 : x
  2. Step 2: Convert to fraction form
    26,022.50/38,962.50 = 38,962.50/x
  3. Step 3: Cross multiply
    26,022.50x = 38,962.50 × 38,962.50
  4. Step 4: Simplify right side
    26,022.50x = 1,518,076,406.25
  5. Step 5: Solve for x
    x = 1,518,076,406.25/26,022.50
  6. Step 6: Final answer
    x = 58,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.