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Finding the Third Proportional to 34,606 and 53,465

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Solution

The third proportional to 34,606 and 53,465 is: 82,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606 : 53,465 = 53,465 : x
  2. Step 2: Convert to fraction form
    34,606/53,465 = 53,465/x
  3. Step 3: Cross multiply
    34,606x = 53,465 × 53,465
  4. Step 4: Simplify right side
    34,606x = 2,858,506,225
  5. Step 5: Solve for x
    x = 2,858,506,225/34,606
  6. Step 6: Final answer
    x = 82,601.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.