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Finding the Third Proportional to 6,502 and 9,490

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Solution

The third proportional to 6,502 and 9,490 is: 13,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 9,490 = 9,490 : x
  2. Step 2: Convert to fraction form
    6,502/9,490 = 9,490/x
  3. Step 3: Cross multiply
    6,502x = 9,490 × 9,490
  4. Step 4: Simplify right side
    6,502x = 90,060,100
  5. Step 5: Solve for x
    x = 90,060,100/6,502
  6. Step 6: Final answer
    x = 13,851.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.