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Finding the Third Proportional to 19,445 and 29,345.50

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Solution

The third proportional to 19,445 and 29,345.50 is: 44,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,445 : 29,345.50 = 29,345.50 : x
  2. Step 2: Convert to fraction form
    19,445/29,345.50 = 29,345.50/x
  3. Step 3: Cross multiply
    19,445x = 29,345.50 × 29,345.50
  4. Step 4: Simplify right side
    19,445x = 861,158,370.25
  5. Step 5: Solve for x
    x = 861,158,370.25/19,445
  6. Step 6: Final answer
    x = 44,286.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.