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Finding the Third Proportional to 19,282 and 39,100.50

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Solution

The third proportional to 19,282 and 39,100.50 is: 79,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282 : 39,100.50 = 39,100.50 : x
  2. Step 2: Convert to fraction form
    19,282/39,100.50 = 39,100.50/x
  3. Step 3: Cross multiply
    19,282x = 39,100.50 × 39,100.50
  4. Step 4: Simplify right side
    19,282x = 1,528,849,100.25
  5. Step 5: Solve for x
    x = 1,528,849,100.25/19,282
  6. Step 6: Final answer
    x = 79,288.93

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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.