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Finding the Third Proportional to 25,117 and 39,193.50

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Solution

The third proportional to 25,117 and 39,193.50 is: 61,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,117 : 39,193.50 = 39,193.50 : x
  2. Step 2: Convert to fraction form
    25,117/39,193.50 = 39,193.50/x
  3. Step 3: Cross multiply
    25,117x = 39,193.50 × 39,193.50
  4. Step 4: Simplify right side
    25,117x = 1,536,130,442.25
  5. Step 5: Solve for x
    x = 1,536,130,442.25/25,117
  6. Step 6: Final answer
    x = 61,158.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.