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Finding the Third Proportional to 17,472.50 and 27,246.50

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Solution

The third proportional to 17,472.50 and 27,246.50 is: 42,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472.50 : 27,246.50 = 27,246.50 : x
  2. Step 2: Convert to fraction form
    17,472.50/27,246.50 = 27,246.50/x
  3. Step 3: Cross multiply
    17,472.50x = 27,246.50 × 27,246.50
  4. Step 4: Simplify right side
    17,472.50x = 742,371,762.25
  5. Step 5: Solve for x
    x = 742,371,762.25/17,472.50
  6. Step 6: Final answer
    x = 42,488.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.