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Finding the Third Proportional to 6,480 and 9,688.50

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Solution

The third proportional to 6,480 and 9,688.50 is: 14,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480 : 9,688.50 = 9,688.50 : x
  2. Step 2: Convert to fraction form
    6,480/9,688.50 = 9,688.50/x
  3. Step 3: Cross multiply
    6,480x = 9,688.50 × 9,688.50
  4. Step 4: Simplify right side
    6,480x = 93,867,032.25
  5. Step 5: Solve for x
    x = 93,867,032.25/6,480
  6. Step 6: Final answer
    x = 14,485.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.