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Finding the Third Proportional to 23,030 and 34,545

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Solution

The third proportional to 23,030 and 34,545 is: 51,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030 : 34,545 = 34,545 : x
  2. Step 2: Convert to fraction form
    23,030/34,545 = 34,545/x
  3. Step 3: Cross multiply
    23,030x = 34,545 × 34,545
  4. Step 4: Simplify right side
    23,030x = 1,193,357,025
  5. Step 5: Solve for x
    x = 1,193,357,025/23,030
  6. Step 6: Final answer
    x = 51,817.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.