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Finding the Third Proportional to 13,175.16 and 21,699.14

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Solution

The third proportional to 13,175.16 and 21,699.14 is: 35,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.16 : 21,699.14 = 21,699.14 : x
  2. Step 2: Convert to fraction form
    13,175.16/21,699.14 = 21,699.14/x
  3. Step 3: Cross multiply
    13,175.16x = 21,699.14 × 21,699.14
  4. Step 4: Simplify right side
    13,175.16x = 470,852,703.86
  5. Step 5: Solve for x
    x = 470,852,703.86/13,175.16
  6. Step 6: Final answer
    x = 35,737.92

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.