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Finding the Third Proportional to 4,596.19 and 9,970.13

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Solution

The third proportional to 4,596.19 and 9,970.13 is: 21,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.19 : 9,970.13 = 9,970.13 : x
  2. Step 2: Convert to fraction form
    4,596.19/9,970.13 = 9,970.13/x
  3. Step 3: Cross multiply
    4,596.19x = 9,970.13 × 9,970.13
  4. Step 4: Simplify right side
    4,596.19x = 99,403,392.52
  5. Step 5: Solve for x
    x = 99,403,392.52/4,596.19
  6. Step 6: Final answer
    x = 21,627.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.