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Finding the Third Proportional to 19,610 and 29,596.50

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Solution

The third proportional to 19,610 and 29,596.50 is: 44,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,610 : 29,596.50 = 29,596.50 : x
  2. Step 2: Convert to fraction form
    19,610/29,596.50 = 29,596.50/x
  3. Step 3: Cross multiply
    19,610x = 29,596.50 × 29,596.50
  4. Step 4: Simplify right side
    19,610x = 875,952,812.25
  5. Step 5: Solve for x
    x = 875,952,812.25/19,610
  6. Step 6: Final answer
    x = 44,668.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.