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Finding the Third Proportional to 7,312 and 9,502

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Solution

The third proportional to 7,312 and 9,502 is: 12,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 9,502 = 9,502 : x
  2. Step 2: Convert to fraction form
    7,312/9,502 = 9,502/x
  3. Step 3: Cross multiply
    7,312x = 9,502 × 9,502
  4. Step 4: Simplify right side
    7,312x = 90,288,004
  5. Step 5: Solve for x
    x = 90,288,004/7,312
  6. Step 6: Final answer
    x = 12,347.92

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.