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Finding the Third Proportional to 32,417.50 and 47,458.50

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Solution

The third proportional to 32,417.50 and 47,458.50 is: 69,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.50 : 47,458.50 = 47,458.50 : x
  2. Step 2: Convert to fraction form
    32,417.50/47,458.50 = 47,458.50/x
  3. Step 3: Cross multiply
    32,417.50x = 47,458.50 × 47,458.50
  4. Step 4: Simplify right side
    32,417.50x = 2,252,309,222.25
  5. Step 5: Solve for x
    x = 2,252,309,222.25/32,417.50
  6. Step 6: Final answer
    x = 69,478.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.