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Finding the Third Proportional to 6,480 and 7,056

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Solution

The third proportional to 6,480 and 7,056 is: 7,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480 : 7,056 = 7,056 : x
  2. Step 2: Convert to fraction form
    6,480/7,056 = 7,056/x
  3. Step 3: Cross multiply
    6,480x = 7,056 × 7,056
  4. Step 4: Simplify right side
    6,480x = 49,787,136
  5. Step 5: Solve for x
    x = 49,787,136/6,480
  6. Step 6: Final answer
    x = 7,683.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.