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Finding the Third Proportional to 12,536.02 and 26,681.91

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Solution

The third proportional to 12,536.02 and 26,681.91 is: 56,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.02 : 26,681.91 = 26,681.91 : x
  2. Step 2: Convert to fraction form
    12,536.02/26,681.91 = 26,681.91/x
  3. Step 3: Cross multiply
    12,536.02x = 26,681.91 × 26,681.91
  4. Step 4: Simplify right side
    12,536.02x = 711,924,121.13
  5. Step 5: Solve for x
    x = 711,924,121.13/12,536.02
  6. Step 6: Final answer
    x = 56,790.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.