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Finding the Third Proportional to 16,483.50 and 35,703

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Solution

The third proportional to 16,483.50 and 35,703 is: 77,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.50 : 35,703 = 35,703 : x
  2. Step 2: Convert to fraction form
    16,483.50/35,703 = 35,703/x
  3. Step 3: Cross multiply
    16,483.50x = 35,703 × 35,703
  4. Step 4: Simplify right side
    16,483.50x = 1,274,704,209
  5. Step 5: Solve for x
    x = 1,274,704,209/16,483.50
  6. Step 6: Final answer
    x = 77,332.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.