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Finding the Third Proportional to 12,506.25 and 19,959

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Solution

The third proportional to 12,506.25 and 19,959 is: 31,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.25 : 19,959 = 19,959 : x
  2. Step 2: Convert to fraction form
    12,506.25/19,959 = 19,959/x
  3. Step 3: Cross multiply
    12,506.25x = 19,959 × 19,959
  4. Step 4: Simplify right side
    12,506.25x = 398,361,681
  5. Step 5: Solve for x
    x = 398,361,681/12,506.25
  6. Step 6: Final answer
    x = 31,853.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.