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Finding the Third Proportional to 10,679.34 and 15,931.69

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Solution

The third proportional to 10,679.34 and 15,931.69 is: 23,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.34 : 15,931.69 = 15,931.69 : x
  2. Step 2: Convert to fraction form
    10,679.34/15,931.69 = 15,931.69/x
  3. Step 3: Cross multiply
    10,679.34x = 15,931.69 × 15,931.69
  4. Step 4: Simplify right side
    10,679.34x = 253,818,666.60
  5. Step 5: Solve for x
    x = 253,818,666.60/10,679.34
  6. Step 6: Final answer
    x = 23,767.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.