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Finding the Third Proportional to 32,875.50 and 72,312

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Solution

The third proportional to 32,875.50 and 72,312 is: 159,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.50 : 72,312 = 72,312 : x
  2. Step 2: Convert to fraction form
    32,875.50/72,312 = 72,312/x
  3. Step 3: Cross multiply
    32,875.50x = 72,312 × 72,312
  4. Step 4: Simplify right side
    32,875.50x = 5,229,025,344
  5. Step 5: Solve for x
    x = 5,229,025,344/32,875.50
  6. Step 6: Final answer
    x = 159,055.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.