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Finding the Third Proportional to 56,621 and 62,291

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Solution

The third proportional to 56,621 and 62,291 is: 68,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,621 : 62,291 = 62,291 : x
  2. Step 2: Convert to fraction form
    56,621/62,291 = 62,291/x
  3. Step 3: Cross multiply
    56,621x = 62,291 × 62,291
  4. Step 4: Simplify right side
    56,621x = 3,880,168,681
  5. Step 5: Solve for x
    x = 3,880,168,681/56,621
  6. Step 6: Final answer
    x = 68,528.79

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.