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Finding the Third Proportional to 9,642.16 and 14,953.04

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Solution

The third proportional to 9,642.16 and 14,953.04 is: 23,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.16 : 14,953.04 = 14,953.04 : x
  2. Step 2: Convert to fraction form
    9,642.16/14,953.04 = 14,953.04/x
  3. Step 3: Cross multiply
    9,642.16x = 14,953.04 × 14,953.04
  4. Step 4: Simplify right side
    9,642.16x = 223,593,494.03
  5. Step 5: Solve for x
    x = 223,593,494.03/9,642.16
  6. Step 6: Final answer
    x = 23,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.