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Finding the Third Proportional to 23,448.50 and 47,765

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Solution

The third proportional to 23,448.50 and 47,765 is: 97,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.50 : 47,765 = 47,765 : x
  2. Step 2: Convert to fraction form
    23,448.50/47,765 = 47,765/x
  3. Step 3: Cross multiply
    23,448.50x = 47,765 × 47,765
  4. Step 4: Simplify right side
    23,448.50x = 2,281,495,225
  5. Step 5: Solve for x
    x = 2,281,495,225/23,448.50
  6. Step 6: Final answer
    x = 97,298.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.