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Finding the Third Proportional to 907.88 and 2,156.63

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Solution

The third proportional to 907.88 and 2,156.63 is: 5,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.88 : 2,156.63 = 2,156.63 : x
  2. Step 2: Convert to fraction form
    907.88/2,156.63 = 2,156.63/x
  3. Step 3: Cross multiply
    907.88x = 2,156.63 × 2,156.63
  4. Step 4: Simplify right side
    907.88x = 4,651,031.39
  5. Step 5: Solve for x
    x = 4,651,031.39/907.88
  6. Step 6: Final answer
    x = 5,122.99

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.