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Finding the Third Proportional to 13,156.59 and 25,100.72

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Solution

The third proportional to 13,156.59 and 25,100.72 is: 47,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.59 : 25,100.72 = 25,100.72 : x
  2. Step 2: Convert to fraction form
    13,156.59/25,100.72 = 25,100.72/x
  3. Step 3: Cross multiply
    13,156.59x = 25,100.72 × 25,100.72
  4. Step 4: Simplify right side
    13,156.59x = 630,046,081.77
  5. Step 5: Solve for x
    x = 630,046,081.77/13,156.59
  6. Step 6: Final answer
    x = 47,888.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.