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Finding the Third Proportional to 14,971.50 and 32,599.13

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Solution

The third proportional to 14,971.50 and 32,599.13 is: 70,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.50 : 32,599.13 = 32,599.13 : x
  2. Step 2: Convert to fraction form
    14,971.50/32,599.13 = 32,599.13/x
  3. Step 3: Cross multiply
    14,971.50x = 32,599.13 × 32,599.13
  4. Step 4: Simplify right side
    14,971.50x = 1,062,702,950.77
  5. Step 5: Solve for x
    x = 1,062,702,950.77/14,971.50
  6. Step 6: Final answer
    x = 70,981.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.