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Finding the Third Proportional to 19,513.69 and 42,308.16

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Solution

The third proportional to 19,513.69 and 42,308.16 is: 91,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.69 : 42,308.16 = 42,308.16 : x
  2. Step 2: Convert to fraction form
    19,513.69/42,308.16 = 42,308.16/x
  3. Step 3: Cross multiply
    19,513.69x = 42,308.16 × 42,308.16
  4. Step 4: Simplify right side
    19,513.69x = 1,789,980,085.27
  5. Step 5: Solve for x
    x = 1,789,980,085.27/19,513.69
  6. Step 6: Final answer
    x = 91,729.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.