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Finding the Third Proportional to 2,470.50 and 4,712.63

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Solution

The third proportional to 2,470.50 and 4,712.63 is: 8,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.50 : 4,712.63 = 4,712.63 : x
  2. Step 2: Convert to fraction form
    2,470.50/4,712.63 = 4,712.63/x
  3. Step 3: Cross multiply
    2,470.50x = 4,712.63 × 4,712.63
  4. Step 4: Simplify right side
    2,470.50x = 22,208,834.39
  5. Step 5: Solve for x
    x = 22,208,834.39/2,470.50
  6. Step 6: Final answer
    x = 8,989.61

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.