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Finding the Third Proportional to 2,931 and 6,913.50

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Solution

The third proportional to 2,931 and 6,913.50 is: 16,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 6,913.50 = 6,913.50 : x
  2. Step 2: Convert to fraction form
    2,931/6,913.50 = 6,913.50/x
  3. Step 3: Cross multiply
    2,931x = 6,913.50 × 6,913.50
  4. Step 4: Simplify right side
    2,931x = 47,796,482.25
  5. Step 5: Solve for x
    x = 47,796,482.25/2,931
  6. Step 6: Final answer
    x = 16,307.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.