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Finding the Third Proportional to 12,281.72 and 26,315.81

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Solution

The third proportional to 12,281.72 and 26,315.81 is: 56,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.72 : 26,315.81 = 26,315.81 : x
  2. Step 2: Convert to fraction form
    12,281.72/26,315.81 = 26,315.81/x
  3. Step 3: Cross multiply
    12,281.72x = 26,315.81 × 26,315.81
  4. Step 4: Simplify right side
    12,281.72x = 692,521,987.54
  5. Step 5: Solve for x
    x = 692,521,987.54/12,281.72
  6. Step 6: Final answer
    x = 56,386.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.