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Finding the Third Proportional to 13,032.30 and 24,680.64

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Solution

The third proportional to 13,032.30 and 24,680.64 is: 46,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.30 : 24,680.64 = 24,680.64 : x
  2. Step 2: Convert to fraction form
    13,032.30/24,680.64 = 24,680.64/x
  3. Step 3: Cross multiply
    13,032.30x = 24,680.64 × 24,680.64
  4. Step 4: Simplify right side
    13,032.30x = 609,133,828.84
  5. Step 5: Solve for x
    x = 609,133,828.84/13,032.30
  6. Step 6: Final answer
    x = 46,740.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.