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Finding the Third Proportional to 23,572.50 and 32,032.50

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Solution

The third proportional to 23,572.50 and 32,032.50 is: 43,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.50 : 32,032.50 = 32,032.50 : x
  2. Step 2: Convert to fraction form
    23,572.50/32,032.50 = 32,032.50/x
  3. Step 3: Cross multiply
    23,572.50x = 32,032.50 × 32,032.50
  4. Step 4: Simplify right side
    23,572.50x = 1,026,081,056.25
  5. Step 5: Solve for x
    x = 1,026,081,056.25/23,572.50
  6. Step 6: Final answer
    x = 43,528.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.