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Finding the Third Proportional to 19,574 and 29,783

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Solution

The third proportional to 19,574 and 29,783 is: 45,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574 : 29,783 = 29,783 : x
  2. Step 2: Convert to fraction form
    19,574/29,783 = 29,783/x
  3. Step 3: Cross multiply
    19,574x = 29,783 × 29,783
  4. Step 4: Simplify right side
    19,574x = 887,027,089
  5. Step 5: Solve for x
    x = 887,027,089/19,574
  6. Step 6: Final answer
    x = 45,316.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.