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Finding the Third Proportional to 12,370.64 and 26,654.91

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Solution

The third proportional to 12,370.64 and 26,654.91 is: 57,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.64 : 26,654.91 = 26,654.91 : x
  2. Step 2: Convert to fraction form
    12,370.64/26,654.91 = 26,654.91/x
  3. Step 3: Cross multiply
    12,370.64x = 26,654.91 × 26,654.91
  4. Step 4: Simplify right side
    12,370.64x = 710,484,027.20
  5. Step 5: Solve for x
    x = 710,484,027.20/12,370.64
  6. Step 6: Final answer
    x = 57,433.08

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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.