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Finding the Third Proportional to 9,484.59 and 14,750.86

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Solution

The third proportional to 9,484.59 and 14,750.86 is: 22,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.59 : 14,750.86 = 14,750.86 : x
  2. Step 2: Convert to fraction form
    9,484.59/14,750.86 = 14,750.86/x
  3. Step 3: Cross multiply
    9,484.59x = 14,750.86 × 14,750.86
  4. Step 4: Simplify right side
    9,484.59x = 217,587,852.30
  5. Step 5: Solve for x
    x = 217,587,852.30/9,484.59
  6. Step 6: Final answer
    x = 22,941.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.