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Finding the Third Proportional to 32,317.31 and 48,281.06

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Solution

The third proportional to 32,317.31 and 48,281.06 is: 72,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,317.31 : 48,281.06 = 48,281.06 : x
  2. Step 2: Convert to fraction form
    32,317.31/48,281.06 = 48,281.06/x
  3. Step 3: Cross multiply
    32,317.31x = 48,281.06 × 48,281.06
  4. Step 4: Simplify right side
    32,317.31x = 2,331,060,996.13
  5. Step 5: Solve for x
    x = 2,331,060,996.13/32,317.31
  6. Step 6: Final answer
    x = 72,130.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.