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Finding the Third Proportional to 9,773.16 and 14,728.08

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Solution

The third proportional to 9,773.16 and 14,728.08 is: 22,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.16 : 14,728.08 = 14,728.08 : x
  2. Step 2: Convert to fraction form
    9,773.16/14,728.08 = 14,728.08/x
  3. Step 3: Cross multiply
    9,773.16x = 14,728.08 × 14,728.08
  4. Step 4: Simplify right side
    9,773.16x = 216,916,285.26
  5. Step 5: Solve for x
    x = 216,916,285.26/9,773.16
  6. Step 6: Final answer
    x = 22,195.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.