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Finding the Third Proportional to 19,308.75 and 42,307.75

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Solution

The third proportional to 19,308.75 and 42,307.75 is: 92,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,308.75 : 42,307.75 = 42,307.75 : x
  2. Step 2: Convert to fraction form
    19,308.75/42,307.75 = 42,307.75/x
  3. Step 3: Cross multiply
    19,308.75x = 42,307.75 × 42,307.75
  4. Step 4: Simplify right side
    19,308.75x = 1,789,945,710.06
  5. Step 5: Solve for x
    x = 1,789,945,710.06/19,308.75
  6. Step 6: Final answer
    x = 92,701.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.