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Finding the Third Proportional to 13,507.80 and 21,703.36

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Solution

The third proportional to 13,507.80 and 21,703.36 is: 34,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.80 : 21,703.36 = 21,703.36 : x
  2. Step 2: Convert to fraction form
    13,507.80/21,703.36 = 21,703.36/x
  3. Step 3: Cross multiply
    13,507.80x = 21,703.36 × 21,703.36
  4. Step 4: Simplify right side
    13,507.80x = 471,035,808.16
  5. Step 5: Solve for x
    x = 471,035,808.16/13,507.80
  6. Step 6: Final answer
    x = 34,871.38

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.