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Finding the Third Proportional to 17,526.38 and 24,592.36

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Solution

The third proportional to 17,526.38 and 24,592.36 is: 34,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.38 : 24,592.36 = 24,592.36 : x
  2. Step 2: Convert to fraction form
    17,526.38/24,592.36 = 24,592.36/x
  3. Step 3: Cross multiply
    17,526.38x = 24,592.36 × 24,592.36
  4. Step 4: Simplify right side
    17,526.38x = 604,784,139.63
  5. Step 5: Solve for x
    x = 604,784,139.63/17,526.38
  6. Step 6: Final answer
    x = 34,507.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.