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Finding the Third Proportional to 7,101 and 19,273.50

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Solution

The third proportional to 7,101 and 19,273.50 is: 52,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 19,273.50 = 19,273.50 : x
  2. Step 2: Convert to fraction form
    7,101/19,273.50 = 19,273.50/x
  3. Step 3: Cross multiply
    7,101x = 19,273.50 × 19,273.50
  4. Step 4: Simplify right side
    7,101x = 371,467,802.25
  5. Step 5: Solve for x
    x = 371,467,802.25/7,101
  6. Step 6: Final answer
    x = 52,312.04

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.