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Finding the Third Proportional to 15,223.57 and 23,664.02

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Solution

The third proportional to 15,223.57 and 23,664.02 is: 36,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.57 : 23,664.02 = 23,664.02 : x
  2. Step 2: Convert to fraction form
    15,223.57/23,664.02 = 23,664.02/x
  3. Step 3: Cross multiply
    15,223.57x = 23,664.02 × 23,664.02
  4. Step 4: Simplify right side
    15,223.57x = 559,986,005.25
  5. Step 5: Solve for x
    x = 559,986,005.25/15,223.57
  6. Step 6: Final answer
    x = 36,784.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.