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Finding the Third Proportional to 19,666.69 and 31,156.88

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Solution

The third proportional to 19,666.69 and 31,156.88 is: 49,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.69 : 31,156.88 = 31,156.88 : x
  2. Step 2: Convert to fraction form
    19,666.69/31,156.88 = 31,156.88/x
  3. Step 3: Cross multiply
    19,666.69x = 31,156.88 × 31,156.88
  4. Step 4: Simplify right side
    19,666.69x = 970,750,859.77
  5. Step 5: Solve for x
    x = 970,750,859.77/19,666.69
  6. Step 6: Final answer
    x = 49,360.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.