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Finding the Third Proportional to 32,476 and 48,583

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Solution

The third proportional to 32,476 and 48,583 is: 72,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476 : 48,583 = 48,583 : x
  2. Step 2: Convert to fraction form
    32,476/48,583 = 48,583/x
  3. Step 3: Cross multiply
    32,476x = 48,583 × 48,583
  4. Step 4: Simplify right side
    32,476x = 2,360,307,889
  5. Step 5: Solve for x
    x = 2,360,307,889/32,476
  6. Step 6: Final answer
    x = 72,678.53

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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.