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Finding the Third Proportional to 7,893 and 10,587

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Solution

The third proportional to 7,893 and 10,587 is: 14,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893 : 10,587 = 10,587 : x
  2. Step 2: Convert to fraction form
    7,893/10,587 = 10,587/x
  3. Step 3: Cross multiply
    7,893x = 10,587 × 10,587
  4. Step 4: Simplify right side
    7,893x = 112,084,569
  5. Step 5: Solve for x
    x = 112,084,569/7,893
  6. Step 6: Final answer
    x = 14,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.