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Finding the Third Proportional to 15,916.50 and 35,937

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Solution

The third proportional to 15,916.50 and 35,937 is: 81,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.50 : 35,937 = 35,937 : x
  2. Step 2: Convert to fraction form
    15,916.50/35,937 = 35,937/x
  3. Step 3: Cross multiply
    15,916.50x = 35,937 × 35,937
  4. Step 4: Simplify right side
    15,916.50x = 1,291,467,969
  5. Step 5: Solve for x
    x = 1,291,467,969/15,916.50
  6. Step 6: Final answer
    x = 81,140.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.