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Finding the Third Proportional to 19,502.50 and 29,957.50

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Solution

The third proportional to 19,502.50 and 29,957.50 is: 46,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.50 : 29,957.50 = 29,957.50 : x
  2. Step 2: Convert to fraction form
    19,502.50/29,957.50 = 29,957.50/x
  3. Step 3: Cross multiply
    19,502.50x = 29,957.50 × 29,957.50
  4. Step 4: Simplify right side
    19,502.50x = 897,451,806.25
  5. Step 5: Solve for x
    x = 897,451,806.25/19,502.50
  6. Step 6: Final answer
    x = 46,017.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.