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Finding the Third Proportional to 32,642 and 48,840

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Solution

The third proportional to 32,642 and 48,840 is: 73,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642 : 48,840 = 48,840 : x
  2. Step 2: Convert to fraction form
    32,642/48,840 = 48,840/x
  3. Step 3: Cross multiply
    32,642x = 48,840 × 48,840
  4. Step 4: Simplify right side
    32,642x = 2,385,345,600
  5. Step 5: Solve for x
    x = 2,385,345,600/32,642
  6. Step 6: Final answer
    x = 73,075.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.