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Finding the Third Proportional to 15,386.63 and 23,496.75

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Solution

The third proportional to 15,386.63 and 23,496.75 is: 35,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386.63 : 23,496.75 = 23,496.75 : x
  2. Step 2: Convert to fraction form
    15,386.63/23,496.75 = 23,496.75/x
  3. Step 3: Cross multiply
    15,386.63x = 23,496.75 × 23,496.75
  4. Step 4: Simplify right side
    15,386.63x = 552,097,260.56
  5. Step 5: Solve for x
    x = 552,097,260.56/15,386.63
  6. Step 6: Final answer
    x = 35,881.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.