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Finding the Third Proportional to 23,473.75 and 48,587.50

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Solution

The third proportional to 23,473.75 and 48,587.50 is: 100,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.75 : 48,587.50 = 48,587.50 : x
  2. Step 2: Convert to fraction form
    23,473.75/48,587.50 = 48,587.50/x
  3. Step 3: Cross multiply
    23,473.75x = 48,587.50 × 48,587.50
  4. Step 4: Simplify right side
    23,473.75x = 2,360,745,156.25
  5. Step 5: Solve for x
    x = 2,360,745,156.25/23,473.75
  6. Step 6: Final answer
    x = 100,569.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.