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Finding the Third Proportional to 468.91 and 1,095.40

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Solution

The third proportional to 468.91 and 1,095.40 is: 2,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 1,095.40 = 1,095.40 : x
  2. Step 2: Convert to fraction form
    468.91/1,095.40 = 1,095.40/x
  3. Step 3: Cross multiply
    468.91x = 1,095.40 × 1,095.40
  4. Step 4: Simplify right side
    468.91x = 1,199,897.74
  5. Step 5: Solve for x
    x = 1,199,897.74/468.91
  6. Step 6: Final answer
    x = 2,558.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.