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Finding the Third Proportional to 25,750.50 and 59,613

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Solution

The third proportional to 25,750.50 and 59,613 is: 138,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750.50 : 59,613 = 59,613 : x
  2. Step 2: Convert to fraction form
    25,750.50/59,613 = 59,613/x
  3. Step 3: Cross multiply
    25,750.50x = 59,613 × 59,613
  4. Step 4: Simplify right side
    25,750.50x = 3,553,709,769
  5. Step 5: Solve for x
    x = 3,553,709,769/25,750.50
  6. Step 6: Final answer
    x = 138,005.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.