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Finding the Third Proportional to 25,536 and 59,341.50

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Solution

The third proportional to 25,536 and 59,341.50 is: 137,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536 : 59,341.50 = 59,341.50 : x
  2. Step 2: Convert to fraction form
    25,536/59,341.50 = 59,341.50/x
  3. Step 3: Cross multiply
    25,536x = 59,341.50 × 59,341.50
  4. Step 4: Simplify right side
    25,536x = 3,521,413,622.25
  5. Step 5: Solve for x
    x = 3,521,413,622.25/25,536
  6. Step 6: Final answer
    x = 137,899.97

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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.