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Finding the Third Proportional to 10,135.13 and 25,975.69

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Solution

The third proportional to 10,135.13 and 25,975.69 is: 66,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.13 : 25,975.69 = 25,975.69 : x
  2. Step 2: Convert to fraction form
    10,135.13/25,975.69 = 25,975.69/x
  3. Step 3: Cross multiply
    10,135.13x = 25,975.69 × 25,975.69
  4. Step 4: Simplify right side
    10,135.13x = 674,736,341.10
  5. Step 5: Solve for x
    x = 674,736,341.10/10,135.13
  6. Step 6: Final answer
    x = 66,574.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.