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Finding the Third Proportional to 19,019.63 and 29,566.13

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Solution

The third proportional to 19,019.63 and 29,566.13 is: 45,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019.63 : 29,566.13 = 29,566.13 : x
  2. Step 2: Convert to fraction form
    19,019.63/29,566.13 = 29,566.13/x
  3. Step 3: Cross multiply
    19,019.63x = 29,566.13 × 29,566.13
  4. Step 4: Simplify right side
    19,019.63x = 874,155,747.52
  5. Step 5: Solve for x
    x = 874,155,747.52/19,019.63
  6. Step 6: Final answer
    x = 45,960.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.