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Finding the Third Proportional to 15,346.50 and 23,697

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Solution

The third proportional to 15,346.50 and 23,697 is: 36,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,346.50 : 23,697 = 23,697 : x
  2. Step 2: Convert to fraction form
    15,346.50/23,697 = 23,697/x
  3. Step 3: Cross multiply
    15,346.50x = 23,697 × 23,697
  4. Step 4: Simplify right side
    15,346.50x = 561,547,809
  5. Step 5: Solve for x
    x = 561,547,809/15,346.50
  6. Step 6: Final answer
    x = 36,591.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.