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Finding the Third Proportional to 21,007.50 and 44,310

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Solution

The third proportional to 21,007.50 and 44,310 is: 93,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.50 : 44,310 = 44,310 : x
  2. Step 2: Convert to fraction form
    21,007.50/44,310 = 44,310/x
  3. Step 3: Cross multiply
    21,007.50x = 44,310 × 44,310
  4. Step 4: Simplify right side
    21,007.50x = 1,963,376,100
  5. Step 5: Solve for x
    x = 1,963,376,100/21,007.50
  6. Step 6: Final answer
    x = 93,460.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.