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Finding the Third Proportional to 19,698.50 and 45,556

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Solution

The third proportional to 19,698.50 and 45,556 is: 105,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.50 : 45,556 = 45,556 : x
  2. Step 2: Convert to fraction form
    19,698.50/45,556 = 45,556/x
  3. Step 3: Cross multiply
    19,698.50x = 45,556 × 45,556
  4. Step 4: Simplify right side
    19,698.50x = 2,075,349,136
  5. Step 5: Solve for x
    x = 2,075,349,136/19,698.50
  6. Step 6: Final answer
    x = 105,355.69

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.