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Finding the Third Proportional to 32,405 and 48,607.50

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Solution

The third proportional to 32,405 and 48,607.50 is: 72,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405 : 48,607.50 = 48,607.50 : x
  2. Step 2: Convert to fraction form
    32,405/48,607.50 = 48,607.50/x
  3. Step 3: Cross multiply
    32,405x = 48,607.50 × 48,607.50
  4. Step 4: Simplify right side
    32,405x = 2,362,689,056.25
  5. Step 5: Solve for x
    x = 2,362,689,056.25/32,405
  6. Step 6: Final answer
    x = 72,911.25

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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.