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Finding the Third Proportional to 17,153.50 and 34,784

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Solution

The third proportional to 17,153.50 and 34,784 is: 70,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.50 : 34,784 = 34,784 : x
  2. Step 2: Convert to fraction form
    17,153.50/34,784 = 34,784/x
  3. Step 3: Cross multiply
    17,153.50x = 34,784 × 34,784
  4. Step 4: Simplify right side
    17,153.50x = 1,209,926,656
  5. Step 5: Solve for x
    x = 1,209,926,656/17,153.50
  6. Step 6: Final answer
    x = 70,535.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.