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Finding the Third Proportional to 14,696.16 and 32,153.06

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Solution

The third proportional to 14,696.16 and 32,153.06 is: 70,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.16 : 32,153.06 = 32,153.06 : x
  2. Step 2: Convert to fraction form
    14,696.16/32,153.06 = 32,153.06/x
  3. Step 3: Cross multiply
    14,696.16x = 32,153.06 × 32,153.06
  4. Step 4: Simplify right side
    14,696.16x = 1,033,819,428.13
  5. Step 5: Solve for x
    x = 1,033,819,428.13/14,696.16
  6. Step 6: Final answer
    x = 70,346.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.