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Finding the Third Proportional to 34,345 and 54,283.50

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Solution

The third proportional to 34,345 and 54,283.50 is: 85,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,345 : 54,283.50 = 54,283.50 : x
  2. Step 2: Convert to fraction form
    34,345/54,283.50 = 54,283.50/x
  3. Step 3: Cross multiply
    34,345x = 54,283.50 × 54,283.50
  4. Step 4: Simplify right side
    34,345x = 2,946,698,372.25
  5. Step 5: Solve for x
    x = 2,946,698,372.25/34,345
  6. Step 6: Final answer
    x = 85,797.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.