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Finding the Third Proportional to 32,322 and 47,419.50

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Solution

The third proportional to 32,322 and 47,419.50 is: 69,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322 : 47,419.50 = 47,419.50 : x
  2. Step 2: Convert to fraction form
    32,322/47,419.50 = 47,419.50/x
  3. Step 3: Cross multiply
    32,322x = 47,419.50 × 47,419.50
  4. Step 4: Simplify right side
    32,322x = 2,248,608,980.25
  5. Step 5: Solve for x
    x = 2,248,608,980.25/32,322
  6. Step 6: Final answer
    x = 69,568.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.