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Finding the Third Proportional to 12,315.63 and 25,507.13

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Solution

The third proportional to 12,315.63 and 25,507.13 is: 52,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.63 : 25,507.13 = 25,507.13 : x
  2. Step 2: Convert to fraction form
    12,315.63/25,507.13 = 25,507.13/x
  3. Step 3: Cross multiply
    12,315.63x = 25,507.13 × 25,507.13
  4. Step 4: Simplify right side
    12,315.63x = 650,613,425.77
  5. Step 5: Solve for x
    x = 650,613,425.77/12,315.63
  6. Step 6: Final answer
    x = 52,828.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.