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Finding the Third Proportional to 4,957 and 10,802.50

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Solution

The third proportional to 4,957 and 10,802.50 is: 23,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957 : 10,802.50 = 10,802.50 : x
  2. Step 2: Convert to fraction form
    4,957/10,802.50 = 10,802.50/x
  3. Step 3: Cross multiply
    4,957x = 10,802.50 × 10,802.50
  4. Step 4: Simplify right side
    4,957x = 116,694,006.25
  5. Step 5: Solve for x
    x = 116,694,006.25/4,957
  6. Step 6: Final answer
    x = 23,541.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.