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Finding the Third Proportional to 6,492.66 and 9,116.30

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Solution

The third proportional to 6,492.66 and 9,116.30 is: 12,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.66 : 9,116.30 = 9,116.30 : x
  2. Step 2: Convert to fraction form
    6,492.66/9,116.30 = 9,116.30/x
  3. Step 3: Cross multiply
    6,492.66x = 9,116.30 × 9,116.30
  4. Step 4: Simplify right side
    6,492.66x = 83,106,868.71
  5. Step 5: Solve for x
    x = 83,106,868.71/6,492.66
  6. Step 6: Final answer
    x = 12,800.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.