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Finding the Third Proportional to 32,962.50 and 52,408.13

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Solution

The third proportional to 32,962.50 and 52,408.13 is: 83,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.50 : 52,408.13 = 52,408.13 : x
  2. Step 2: Convert to fraction form
    32,962.50/52,408.13 = 52,408.13/x
  3. Step 3: Cross multiply
    32,962.50x = 52,408.13 × 52,408.13
  4. Step 4: Simplify right side
    32,962.50x = 2,746,611,566.02
  5. Step 5: Solve for x
    x = 2,746,611,566.02/32,962.50
  6. Step 6: Final answer
    x = 83,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.