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Finding the Third Proportional to 45,820 and 65,368

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Solution

The third proportional to 45,820 and 65,368 is: 93,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820 : 65,368 = 65,368 : x
  2. Step 2: Convert to fraction form
    45,820/65,368 = 65,368/x
  3. Step 3: Cross multiply
    45,820x = 65,368 × 65,368
  4. Step 4: Simplify right side
    45,820x = 4,272,975,424
  5. Step 5: Solve for x
    x = 4,272,975,424/45,820
  6. Step 6: Final answer
    x = 93,255.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.