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Finding the Third Proportional to 25,020 and 59,059.50

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Solution

The third proportional to 25,020 and 59,059.50 is: 139,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,020 : 59,059.50 = 59,059.50 : x
  2. Step 2: Convert to fraction form
    25,020/59,059.50 = 59,059.50/x
  3. Step 3: Cross multiply
    25,020x = 59,059.50 × 59,059.50
  4. Step 4: Simplify right side
    25,020x = 3,488,024,540.25
  5. Step 5: Solve for x
    x = 3,488,024,540.25/25,020
  6. Step 6: Final answer
    x = 139,409.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.