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Finding the Third Proportional to 17,668.55 and 27,323.02

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Solution

The third proportional to 17,668.55 and 27,323.02 is: 42,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.55 : 27,323.02 = 27,323.02 : x
  2. Step 2: Convert to fraction form
    17,668.55/27,323.02 = 27,323.02/x
  3. Step 3: Cross multiply
    17,668.55x = 27,323.02 × 27,323.02
  4. Step 4: Simplify right side
    17,668.55x = 746,547,182.84
  5. Step 5: Solve for x
    x = 746,547,182.84/17,668.55
  6. Step 6: Final answer
    x = 42,252.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.