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Finding the Third Proportional to 14,554.50 and 23,082

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Solution

The third proportional to 14,554.50 and 23,082 is: 36,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.50 : 23,082 = 23,082 : x
  2. Step 2: Convert to fraction form
    14,554.50/23,082 = 23,082/x
  3. Step 3: Cross multiply
    14,554.50x = 23,082 × 23,082
  4. Step 4: Simplify right side
    14,554.50x = 532,778,724
  5. Step 5: Solve for x
    x = 532,778,724/14,554.50
  6. Step 6: Final answer
    x = 36,605.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.