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Finding the Third Proportional to 19,307.25 and 45,105

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Solution

The third proportional to 19,307.25 and 45,105 is: 105,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,307.25 : 45,105 = 45,105 : x
  2. Step 2: Convert to fraction form
    19,307.25/45,105 = 45,105/x
  3. Step 3: Cross multiply
    19,307.25x = 45,105 × 45,105
  4. Step 4: Simplify right side
    19,307.25x = 2,034,461,025
  5. Step 5: Solve for x
    x = 2,034,461,025/19,307.25
  6. Step 6: Final answer
    x = 105,372.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.