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Finding the Third Proportional to 22,952.50 and 32,323.50

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Solution

The third proportional to 22,952.50 and 32,323.50 is: 45,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.50 : 32,323.50 = 32,323.50 : x
  2. Step 2: Convert to fraction form
    22,952.50/32,323.50 = 32,323.50/x
  3. Step 3: Cross multiply
    22,952.50x = 32,323.50 × 32,323.50
  4. Step 4: Simplify right side
    22,952.50x = 1,044,808,652.25
  5. Step 5: Solve for x
    x = 1,044,808,652.25/22,952.50
  6. Step 6: Final answer
    x = 45,520.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.