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Finding the Third Proportional to 26,066.81 and 56,915.16

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Solution

The third proportional to 26,066.81 and 56,915.16 is: 124,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,066.81 : 56,915.16 = 56,915.16 : x
  2. Step 2: Convert to fraction form
    26,066.81/56,915.16 = 56,915.16/x
  3. Step 3: Cross multiply
    26,066.81x = 56,915.16 × 56,915.16
  4. Step 4: Simplify right side
    26,066.81x = 3,239,335,010.96
  5. Step 5: Solve for x
    x = 3,239,335,010.96/26,066.81
  6. Step 6: Final answer
    x = 124,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.