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Finding the Third Proportional to 32,521.50 and 48,507

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Solution

The third proportional to 32,521.50 and 48,507 is: 72,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.50 : 48,507 = 48,507 : x
  2. Step 2: Convert to fraction form
    32,521.50/48,507 = 48,507/x
  3. Step 3: Cross multiply
    32,521.50x = 48,507 × 48,507
  4. Step 4: Simplify right side
    32,521.50x = 2,352,929,049
  5. Step 5: Solve for x
    x = 2,352,929,049/32,521.50
  6. Step 6: Final answer
    x = 72,349.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.