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Finding the Third Proportional to 13,870.93 and 21,736.16

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Solution

The third proportional to 13,870.93 and 21,736.16 is: 34,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.93 : 21,736.16 = 21,736.16 : x
  2. Step 2: Convert to fraction form
    13,870.93/21,736.16 = 21,736.16/x
  3. Step 3: Cross multiply
    13,870.93x = 21,736.16 × 21,736.16
  4. Step 4: Simplify right side
    13,870.93x = 472,460,658.34
  5. Step 5: Solve for x
    x = 472,460,658.34/13,870.93
  6. Step 6: Final answer
    x = 34,061.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.