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Finding the Third Proportional to 16,113 and 23,731.50

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Solution

The third proportional to 16,113 and 23,731.50 is: 34,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113 : 23,731.50 = 23,731.50 : x
  2. Step 2: Convert to fraction form
    16,113/23,731.50 = 23,731.50/x
  3. Step 3: Cross multiply
    16,113x = 23,731.50 × 23,731.50
  4. Step 4: Simplify right side
    16,113x = 563,184,092.25
  5. Step 5: Solve for x
    x = 563,184,092.25/16,113
  6. Step 6: Final answer
    x = 34,952.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.