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Finding the Third Proportional to 25,663.50 and 44,509.50

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Solution

The third proportional to 25,663.50 and 44,509.50 is: 77,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.50 : 44,509.50 = 44,509.50 : x
  2. Step 2: Convert to fraction form
    25,663.50/44,509.50 = 44,509.50/x
  3. Step 3: Cross multiply
    25,663.50x = 44,509.50 × 44,509.50
  4. Step 4: Simplify right side
    25,663.50x = 1,981,095,590.25
  5. Step 5: Solve for x
    x = 1,981,095,590.25/25,663.50
  6. Step 6: Final answer
    x = 77,195.07

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.