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Finding the Third Proportional to 10,574.63 and 25,051.88

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Solution

The third proportional to 10,574.63 and 25,051.88 is: 59,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.63 : 25,051.88 = 25,051.88 : x
  2. Step 2: Convert to fraction form
    10,574.63/25,051.88 = 25,051.88/x
  3. Step 3: Cross multiply
    10,574.63x = 25,051.88 × 25,051.88
  4. Step 4: Simplify right side
    10,574.63x = 627,596,441.02
  5. Step 5: Solve for x
    x = 627,596,441.02/10,574.63
  6. Step 6: Final answer
    x = 59,349.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.