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Finding the Third Proportional to 15,306 and 21,664.50

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Solution

The third proportional to 15,306 and 21,664.50 is: 30,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306 : 21,664.50 = 21,664.50 : x
  2. Step 2: Convert to fraction form
    15,306/21,664.50 = 21,664.50/x
  3. Step 3: Cross multiply
    15,306x = 21,664.50 × 21,664.50
  4. Step 4: Simplify right side
    15,306x = 469,350,560.25
  5. Step 5: Solve for x
    x = 469,350,560.25/15,306
  6. Step 6: Final answer
    x = 30,664.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.