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Finding the Third Proportional to 22,352.50 and 48,335

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Solution

The third proportional to 22,352.50 and 48,335 is: 104,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.50 : 48,335 = 48,335 : x
  2. Step 2: Convert to fraction form
    22,352.50/48,335 = 48,335/x
  3. Step 3: Cross multiply
    22,352.50x = 48,335 × 48,335
  4. Step 4: Simplify right side
    22,352.50x = 2,336,272,225
  5. Step 5: Solve for x
    x = 2,336,272,225/22,352.50
  6. Step 6: Final answer
    x = 104,519.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.