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Finding the Third Proportional to 15,634.13 and 23,585.63

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Solution

The third proportional to 15,634.13 and 23,585.63 is: 35,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.13 : 23,585.63 = 23,585.63 : x
  2. Step 2: Convert to fraction form
    15,634.13/23,585.63 = 23,585.63/x
  3. Step 3: Cross multiply
    15,634.13x = 23,585.63 × 23,585.63
  4. Step 4: Simplify right side
    15,634.13x = 556,281,706.64
  5. Step 5: Solve for x
    x = 556,281,706.64/15,634.13
  6. Step 6: Final answer
    x = 35,581.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.