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Finding the Third Proportional to 13,558.50 and 29,422.50

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Solution

The third proportional to 13,558.50 and 29,422.50 is: 63,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.50 : 29,422.50 = 29,422.50 : x
  2. Step 2: Convert to fraction form
    13,558.50/29,422.50 = 29,422.50/x
  3. Step 3: Cross multiply
    13,558.50x = 29,422.50 × 29,422.50
  4. Step 4: Simplify right side
    13,558.50x = 865,683,506.25
  5. Step 5: Solve for x
    x = 865,683,506.25/13,558.50
  6. Step 6: Final answer
    x = 63,848.03

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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.