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Finding the Third Proportional to 12,539.81 and 27,038.81

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Solution

The third proportional to 12,539.81 and 27,038.81 is: 58,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.81 : 27,038.81 = 27,038.81 : x
  2. Step 2: Convert to fraction form
    12,539.81/27,038.81 = 27,038.81/x
  3. Step 3: Cross multiply
    12,539.81x = 27,038.81 × 27,038.81
  4. Step 4: Simplify right side
    12,539.81x = 731,097,381.41
  5. Step 5: Solve for x
    x = 731,097,381.41/12,539.81
  6. Step 6: Final answer
    x = 58,302.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.