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Finding the Third Proportional to 30,013.50 and 49,503

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Solution

The third proportional to 30,013.50 and 49,503 is: 81,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.50 : 49,503 = 49,503 : x
  2. Step 2: Convert to fraction form
    30,013.50/49,503 = 49,503/x
  3. Step 3: Cross multiply
    30,013.50x = 49,503 × 49,503
  4. Step 4: Simplify right side
    30,013.50x = 2,450,547,009
  5. Step 5: Solve for x
    x = 2,450,547,009/30,013.50
  6. Step 6: Final answer
    x = 81,648.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.