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Finding the Third Proportional to 9,735.19 and 22,307.06

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Solution

The third proportional to 9,735.19 and 22,307.06 is: 51,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.19 : 22,307.06 = 22,307.06 : x
  2. Step 2: Convert to fraction form
    9,735.19/22,307.06 = 22,307.06/x
  3. Step 3: Cross multiply
    9,735.19x = 22,307.06 × 22,307.06
  4. Step 4: Simplify right side
    9,735.19x = 497,605,037.38
  5. Step 5: Solve for x
    x = 497,605,037.38/9,735.19
  6. Step 6: Final answer
    x = 51,114.07

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.