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Finding the Third Proportional to 53,389.50 and 72,396

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Solution

The third proportional to 53,389.50 and 72,396 is: 98,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,389.50 : 72,396 = 72,396 : x
  2. Step 2: Convert to fraction form
    53,389.50/72,396 = 72,396/x
  3. Step 3: Cross multiply
    53,389.50x = 72,396 × 72,396
  4. Step 4: Simplify right side
    53,389.50x = 5,241,180,816
  5. Step 5: Solve for x
    x = 5,241,180,816/53,389.50
  6. Step 6: Final answer
    x = 98,168.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.