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Finding the Third Proportional to 19,283 and 39,102.50

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Solution

The third proportional to 19,283 and 39,102.50 is: 79,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283 : 39,102.50 = 39,102.50 : x
  2. Step 2: Convert to fraction form
    19,283/39,102.50 = 39,102.50/x
  3. Step 3: Cross multiply
    19,283x = 39,102.50 × 39,102.50
  4. Step 4: Simplify right side
    19,283x = 1,529,005,506.25
  5. Step 5: Solve for x
    x = 1,529,005,506.25/19,283
  6. Step 6: Final answer
    x = 79,292.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.