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Finding the Third Proportional to 25,716 and 39,165.75

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Solution

The third proportional to 25,716 and 39,165.75 is: 59,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716 : 39,165.75 = 39,165.75 : x
  2. Step 2: Convert to fraction form
    25,716/39,165.75 = 39,165.75/x
  3. Step 3: Cross multiply
    25,716x = 39,165.75 × 39,165.75
  4. Step 4: Simplify right side
    25,716x = 1,533,955,973.06
  5. Step 5: Solve for x
    x = 1,533,955,973.06/25,716
  6. Step 6: Final answer
    x = 59,649.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.