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Finding the Third Proportional to 32,931 and 72,580.50

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Solution

The third proportional to 32,931 and 72,580.50 is: 159,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931 : 72,580.50 = 72,580.50 : x
  2. Step 2: Convert to fraction form
    32,931/72,580.50 = 72,580.50/x
  3. Step 3: Cross multiply
    32,931x = 72,580.50 × 72,580.50
  4. Step 4: Simplify right side
    32,931x = 5,267,928,980.25
  5. Step 5: Solve for x
    x = 5,267,928,980.25/32,931
  6. Step 6: Final answer
    x = 159,968.69

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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.