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Finding the Third Proportional to 10,356.61 and 22,064.91

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Solution

The third proportional to 10,356.61 and 22,064.91 is: 47,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.61 : 22,064.91 = 22,064.91 : x
  2. Step 2: Convert to fraction form
    10,356.61/22,064.91 = 22,064.91/x
  3. Step 3: Cross multiply
    10,356.61x = 22,064.91 × 22,064.91
  4. Step 4: Simplify right side
    10,356.61x = 486,860,087.82
  5. Step 5: Solve for x
    x = 486,860,087.82/10,356.61
  6. Step 6: Final answer
    x = 47,009.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.