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Finding the Third Proportional to 5,985.14 and 9,472.64

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Solution

The third proportional to 5,985.14 and 9,472.64 is: 14,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.14 : 9,472.64 = 9,472.64 : x
  2. Step 2: Convert to fraction form
    5,985.14/9,472.64 = 9,472.64/x
  3. Step 3: Cross multiply
    5,985.14x = 9,472.64 × 9,472.64
  4. Step 4: Simplify right side
    5,985.14x = 89,730,920.41
  5. Step 5: Solve for x
    x = 89,730,920.41/5,985.14
  6. Step 6: Final answer
    x = 14,992.28

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1.5x scale

Why These Related Problems?

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