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Finding the Third Proportional to 44,838.50 and 72,246.50

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Solution

The third proportional to 44,838.50 and 72,246.50 is: 116,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,838.50 : 72,246.50 = 72,246.50 : x
  2. Step 2: Convert to fraction form
    44,838.50/72,246.50 = 72,246.50/x
  3. Step 3: Cross multiply
    44,838.50x = 72,246.50 × 72,246.50
  4. Step 4: Simplify right side
    44,838.50x = 5,219,556,762.25
  5. Step 5: Solve for x
    x = 5,219,556,762.25/44,838.50
  6. Step 6: Final answer
    x = 116,407.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.