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Finding the Third Proportional to 23,095.13 and 35,339.63

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Solution

The third proportional to 23,095.13 and 35,339.63 is: 54,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.13 : 35,339.63 = 35,339.63 : x
  2. Step 2: Convert to fraction form
    23,095.13/35,339.63 = 35,339.63/x
  3. Step 3: Cross multiply
    23,095.13x = 35,339.63 × 35,339.63
  4. Step 4: Simplify right side
    23,095.13x = 1,248,889,095.14
  5. Step 5: Solve for x
    x = 1,248,889,095.14/23,095.13
  6. Step 6: Final answer
    x = 54,075.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.