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Finding the Third Proportional to 15,640 and 23,594

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Solution

The third proportional to 15,640 and 23,594 is: 35,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640 : 23,594 = 23,594 : x
  2. Step 2: Convert to fraction form
    15,640/23,594 = 23,594/x
  3. Step 3: Cross multiply
    15,640x = 23,594 × 23,594
  4. Step 4: Simplify right side
    15,640x = 556,676,836
  5. Step 5: Solve for x
    x = 556,676,836/15,640
  6. Step 6: Final answer
    x = 35,593.15

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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.