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Finding the Third Proportional to 15,965 and 25,266.50

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Solution

The third proportional to 15,965 and 25,266.50 is: 39,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965 : 25,266.50 = 25,266.50 : x
  2. Step 2: Convert to fraction form
    15,965/25,266.50 = 25,266.50/x
  3. Step 3: Cross multiply
    15,965x = 25,266.50 × 25,266.50
  4. Step 4: Simplify right side
    15,965x = 638,396,022.25
  5. Step 5: Solve for x
    x = 638,396,022.25/15,965
  6. Step 6: Final answer
    x = 39,987.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.