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Finding the Third Proportional to 10,373 and 16,492.50

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Solution

The third proportional to 10,373 and 16,492.50 is: 26,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373 : 16,492.50 = 16,492.50 : x
  2. Step 2: Convert to fraction form
    10,373/16,492.50 = 16,492.50/x
  3. Step 3: Cross multiply
    10,373x = 16,492.50 × 16,492.50
  4. Step 4: Simplify right side
    10,373x = 272,002,556.25
  5. Step 5: Solve for x
    x = 272,002,556.25/10,373
  6. Step 6: Final answer
    x = 26,222.17

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