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Finding the Third Proportional to 14,913 and 23,143.50

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Solution

The third proportional to 14,913 and 23,143.50 is: 35,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913 : 23,143.50 = 23,143.50 : x
  2. Step 2: Convert to fraction form
    14,913/23,143.50 = 23,143.50/x
  3. Step 3: Cross multiply
    14,913x = 23,143.50 × 23,143.50
  4. Step 4: Simplify right side
    14,913x = 535,621,592.25
  5. Step 5: Solve for x
    x = 535,621,592.25/14,913
  6. Step 6: Final answer
    x = 35,916.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.