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Finding the Third Proportional to 14,809.50 and 23,436

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Solution

The third proportional to 14,809.50 and 23,436 is: 37,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.50 : 23,436 = 23,436 : x
  2. Step 2: Convert to fraction form
    14,809.50/23,436 = 23,436/x
  3. Step 3: Cross multiply
    14,809.50x = 23,436 × 23,436
  4. Step 4: Simplify right side
    14,809.50x = 549,246,096
  5. Step 5: Solve for x
    x = 549,246,096/14,809.50
  6. Step 6: Final answer
    x = 37,087.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.