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Finding the Third Proportional to 7,312 and 9,764

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Solution

The third proportional to 7,312 and 9,764 is: 13,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 9,764 = 9,764 : x
  2. Step 2: Convert to fraction form
    7,312/9,764 = 9,764/x
  3. Step 3: Cross multiply
    7,312x = 9,764 × 9,764
  4. Step 4: Simplify right side
    7,312x = 95,335,696
  5. Step 5: Solve for x
    x = 95,335,696/7,312
  6. Step 6: Final answer
    x = 13,038.25

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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.