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Finding the Third Proportional to 19,130 and 25,657.50

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Solution

The third proportional to 19,130 and 25,657.50 is: 34,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130 : 25,657.50 = 25,657.50 : x
  2. Step 2: Convert to fraction form
    19,130/25,657.50 = 25,657.50/x
  3. Step 3: Cross multiply
    19,130x = 25,657.50 × 25,657.50
  4. Step 4: Simplify right side
    19,130x = 658,307,306.25
  5. Step 5: Solve for x
    x = 658,307,306.25/19,130
  6. Step 6: Final answer
    x = 34,412.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.