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Finding the Third Proportional to 13,569.75 and 29,462.63

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Solution

The third proportional to 13,569.75 and 29,462.63 is: 63,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.75 : 29,462.63 = 29,462.63 : x
  2. Step 2: Convert to fraction form
    13,569.75/29,462.63 = 29,462.63/x
  3. Step 3: Cross multiply
    13,569.75x = 29,462.63 × 29,462.63
  4. Step 4: Simplify right side
    13,569.75x = 868,046,271.89
  5. Step 5: Solve for x
    x = 868,046,271.89/13,569.75
  6. Step 6: Final answer
    x = 63,969.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.