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Finding the Third Proportional to 15,703.88 and 23,986.13

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Solution

The third proportional to 15,703.88 and 23,986.13 is: 36,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.88 : 23,986.13 = 23,986.13 : x
  2. Step 2: Convert to fraction form
    15,703.88/23,986.13 = 23,986.13/x
  3. Step 3: Cross multiply
    15,703.88x = 23,986.13 × 23,986.13
  4. Step 4: Simplify right side
    15,703.88x = 575,334,192.52
  5. Step 5: Solve for x
    x = 575,334,192.52/15,703.88
  6. Step 6: Final answer
    x = 36,636.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.