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Finding the Third Proportional to 32,931.50 and 70,864.75

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Solution

The third proportional to 32,931.50 and 70,864.75 is: 152,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.50 : 70,864.75 = 70,864.75 : x
  2. Step 2: Convert to fraction form
    32,931.50/70,864.75 = 70,864.75/x
  3. Step 3: Cross multiply
    32,931.50x = 70,864.75 × 70,864.75
  4. Step 4: Simplify right side
    32,931.50x = 5,021,812,792.56
  5. Step 5: Solve for x
    x = 5,021,812,792.56/32,931.50
  6. Step 6: Final answer
    x = 152,492.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.