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Finding the Third Proportional to 15,733.13 and 30,666.94

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Solution

The third proportional to 15,733.13 and 30,666.94 is: 59,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.13 : 30,666.94 = 30,666.94 : x
  2. Step 2: Convert to fraction form
    15,733.13/30,666.94 = 30,666.94/x
  3. Step 3: Cross multiply
    15,733.13x = 30,666.94 × 30,666.94
  4. Step 4: Simplify right side
    15,733.13x = 940,461,055.63
  5. Step 5: Solve for x
    x = 940,461,055.63/15,733.13
  6. Step 6: Final answer
    x = 59,775.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.