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Finding the Third Proportional to 15,008.84 and 31,670.68

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Solution

The third proportional to 15,008.84 and 31,670.68 is: 66,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,008.84 : 31,670.68 = 31,670.68 : x
  2. Step 2: Convert to fraction form
    15,008.84/31,670.68 = 31,670.68/x
  3. Step 3: Cross multiply
    15,008.84x = 31,670.68 × 31,670.68
  4. Step 4: Simplify right side
    15,008.84x = 1,003,032,199.30
  5. Step 5: Solve for x
    x = 1,003,032,199.30/15,008.84
  6. Step 6: Final answer
    x = 66,829.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.