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Finding the Third Proportional to 23,953.50 and 52,095

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Solution

The third proportional to 23,953.50 and 52,095 is: 113,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,953.50 : 52,095 = 52,095 : x
  2. Step 2: Convert to fraction form
    23,953.50/52,095 = 52,095/x
  3. Step 3: Cross multiply
    23,953.50x = 52,095 × 52,095
  4. Step 4: Simplify right side
    23,953.50x = 2,713,889,025
  5. Step 5: Solve for x
    x = 2,713,889,025/23,953.50
  6. Step 6: Final answer
    x = 113,298.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.