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Finding the Third Proportional to 15,735.94 and 22,001.63

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Solution

The third proportional to 15,735.94 and 22,001.63 is: 30,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.94 : 22,001.63 = 22,001.63 : x
  2. Step 2: Convert to fraction form
    15,735.94/22,001.63 = 22,001.63/x
  3. Step 3: Cross multiply
    15,735.94x = 22,001.63 × 22,001.63
  4. Step 4: Simplify right side
    15,735.94x = 484,071,502.64
  5. Step 5: Solve for x
    x = 484,071,502.64/15,735.94
  6. Step 6: Final answer
    x = 30,762.16

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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.