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Finding the Third Proportional to 22,582.50 and 49,470

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Solution

The third proportional to 22,582.50 and 49,470 is: 108,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.50 : 49,470 = 49,470 : x
  2. Step 2: Convert to fraction form
    22,582.50/49,470 = 49,470/x
  3. Step 3: Cross multiply
    22,582.50x = 49,470 × 49,470
  4. Step 4: Simplify right side
    22,582.50x = 2,447,280,900
  5. Step 5: Solve for x
    x = 2,447,280,900/22,582.50
  6. Step 6: Final answer
    x = 108,370.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.