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Finding the Third Proportional to 19,411.50 and 29,477.25

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Solution

The third proportional to 19,411.50 and 29,477.25 is: 44,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,411.50 : 29,477.25 = 29,477.25 : x
  2. Step 2: Convert to fraction form
    19,411.50/29,477.25 = 29,477.25/x
  3. Step 3: Cross multiply
    19,411.50x = 29,477.25 × 29,477.25
  4. Step 4: Simplify right side
    19,411.50x = 868,908,267.56
  5. Step 5: Solve for x
    x = 868,908,267.56/19,411.50
  6. Step 6: Final answer
    x = 44,762.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.