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Finding the Third Proportional to 16,840.50 and 39,681

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Solution

The third proportional to 16,840.50 and 39,681 is: 93,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.50 : 39,681 = 39,681 : x
  2. Step 2: Convert to fraction form
    16,840.50/39,681 = 39,681/x
  3. Step 3: Cross multiply
    16,840.50x = 39,681 × 39,681
  4. Step 4: Simplify right side
    16,840.50x = 1,574,581,761
  5. Step 5: Solve for x
    x = 1,574,581,761/16,840.50
  6. Step 6: Final answer
    x = 93,499.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.