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Finding the Third Proportional to 44,640 and 61,210

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Solution

The third proportional to 44,640 and 61,210 is: 83,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,640 : 61,210 = 61,210 : x
  2. Step 2: Convert to fraction form
    44,640/61,210 = 61,210/x
  3. Step 3: Cross multiply
    44,640x = 61,210 × 61,210
  4. Step 4: Simplify right side
    44,640x = 3,746,664,100
  5. Step 5: Solve for x
    x = 3,746,664,100/44,640
  6. Step 6: Final answer
    x = 83,930.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.