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Finding the Third Proportional to 25,530.19 and 58,598.44

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Solution

The third proportional to 25,530.19 and 58,598.44 is: 134,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,530.19 : 58,598.44 = 58,598.44 : x
  2. Step 2: Convert to fraction form
    25,530.19/58,598.44 = 58,598.44/x
  3. Step 3: Cross multiply
    25,530.19x = 58,598.44 × 58,598.44
  4. Step 4: Simplify right side
    25,530.19x = 3,433,776,877.44
  5. Step 5: Solve for x
    x = 3,433,776,877.44/25,530.19
  6. Step 6: Final answer
    x = 134,498.69

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.