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Finding the Third Proportional to 19,394 and 29,654.50

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Solution

The third proportional to 19,394 and 29,654.50 is: 45,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,394 : 29,654.50 = 29,654.50 : x
  2. Step 2: Convert to fraction form
    19,394/29,654.50 = 29,654.50/x
  3. Step 3: Cross multiply
    19,394x = 29,654.50 × 29,654.50
  4. Step 4: Simplify right side
    19,394x = 879,389,370.25
  5. Step 5: Solve for x
    x = 879,389,370.25/19,394
  6. Step 6: Final answer
    x = 45,343.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.