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Finding the Third Proportional to 15,410.25 and 31,468.50

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Solution

The third proportional to 15,410.25 and 31,468.50 is: 64,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.25 : 31,468.50 = 31,468.50 : x
  2. Step 2: Convert to fraction form
    15,410.25/31,468.50 = 31,468.50/x
  3. Step 3: Cross multiply
    15,410.25x = 31,468.50 × 31,468.50
  4. Step 4: Simplify right side
    15,410.25x = 990,266,492.25
  5. Step 5: Solve for x
    x = 990,266,492.25/15,410.25
  6. Step 6: Final answer
    x = 64,260.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.