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Finding the Third Proportional to 19,783.50 and 43,239

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Solution

The third proportional to 19,783.50 and 43,239 is: 94,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.50 : 43,239 = 43,239 : x
  2. Step 2: Convert to fraction form
    19,783.50/43,239 = 43,239/x
  3. Step 3: Cross multiply
    19,783.50x = 43,239 × 43,239
  4. Step 4: Simplify right side
    19,783.50x = 1,869,611,121
  5. Step 5: Solve for x
    x = 1,869,611,121/19,783.50
  6. Step 6: Final answer
    x = 94,503.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.