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Finding the Third Proportional to 32,420 and 47,577

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Solution

The third proportional to 32,420 and 47,577 is: 69,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420 : 47,577 = 47,577 : x
  2. Step 2: Convert to fraction form
    32,420/47,577 = 47,577/x
  3. Step 3: Cross multiply
    32,420x = 47,577 × 47,577
  4. Step 4: Simplify right side
    32,420x = 2,263,570,929
  5. Step 5: Solve for x
    x = 2,263,570,929/32,420
  6. Step 6: Final answer
    x = 69,820.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.