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Finding the Third Proportional to 10,732.50 and 26,102.25

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Solution

The third proportional to 10,732.50 and 26,102.25 is: 63,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.50 : 26,102.25 = 26,102.25 : x
  2. Step 2: Convert to fraction form
    10,732.50/26,102.25 = 26,102.25/x
  3. Step 3: Cross multiply
    10,732.50x = 26,102.25 × 26,102.25
  4. Step 4: Simplify right side
    10,732.50x = 681,327,455.06
  5. Step 5: Solve for x
    x = 681,327,455.06/10,732.50
  6. Step 6: Final answer
    x = 63,482.64

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.