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Finding the Third Proportional to 12,457.50 and 26,760

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Solution

The third proportional to 12,457.50 and 26,760 is: 57,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.50 : 26,760 = 26,760 : x
  2. Step 2: Convert to fraction form
    12,457.50/26,760 = 26,760/x
  3. Step 3: Cross multiply
    12,457.50x = 26,760 × 26,760
  4. Step 4: Simplify right side
    12,457.50x = 716,097,600
  5. Step 5: Solve for x
    x = 716,097,600/12,457.50
  6. Step 6: Final answer
    x = 57,483.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.