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Finding the Third Proportional to 15,870.38 and 35,500.50

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Solution

The third proportional to 15,870.38 and 35,500.50 is: 79,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.38 : 35,500.50 = 35,500.50 : x
  2. Step 2: Convert to fraction form
    15,870.38/35,500.50 = 35,500.50/x
  3. Step 3: Cross multiply
    15,870.38x = 35,500.50 × 35,500.50
  4. Step 4: Simplify right side
    15,870.38x = 1,260,285,500.25
  5. Step 5: Solve for x
    x = 1,260,285,500.25/15,870.38
  6. Step 6: Final answer
    x = 79,411.20

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.