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Finding the Third Proportional to 22,762.50 and 33,967.50

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Solution

The third proportional to 22,762.50 and 33,967.50 is: 50,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.50 : 33,967.50 = 33,967.50 : x
  2. Step 2: Convert to fraction form
    22,762.50/33,967.50 = 33,967.50/x
  3. Step 3: Cross multiply
    22,762.50x = 33,967.50 × 33,967.50
  4. Step 4: Simplify right side
    22,762.50x = 1,153,791,056.25
  5. Step 5: Solve for x
    x = 1,153,791,056.25/22,762.50
  6. Step 6: Final answer
    x = 50,688.24

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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.