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Finding the Third Proportional to 14,623.31 and 23,549.91

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Solution

The third proportional to 14,623.31 and 23,549.91 is: 37,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,623.31 : 23,549.91 = 23,549.91 : x
  2. Step 2: Convert to fraction form
    14,623.31/23,549.91 = 23,549.91/x
  3. Step 3: Cross multiply
    14,623.31x = 23,549.91 × 23,549.91
  4. Step 4: Simplify right side
    14,623.31x = 554,598,084.38
  5. Step 5: Solve for x
    x = 554,598,084.38/14,623.31
  6. Step 6: Final answer
    x = 37,925.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.