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Finding the Third Proportional to 40,316 and 60,514

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Solution

The third proportional to 40,316 and 60,514 is: 90,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316 : 60,514 = 60,514 : x
  2. Step 2: Convert to fraction form
    40,316/60,514 = 60,514/x
  3. Step 3: Cross multiply
    40,316x = 60,514 × 60,514
  4. Step 4: Simplify right side
    40,316x = 3,661,944,196
  5. Step 5: Solve for x
    x = 3,661,944,196/40,316
  6. Step 6: Final answer
    x = 90,831.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.