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Finding the Third Proportional to 23,014.13 and 31,362.19

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Solution

The third proportional to 23,014.13 and 31,362.19 is: 42,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.13 : 31,362.19 = 31,362.19 : x
  2. Step 2: Convert to fraction form
    23,014.13/31,362.19 = 31,362.19/x
  3. Step 3: Cross multiply
    23,014.13x = 31,362.19 × 31,362.19
  4. Step 4: Simplify right side
    23,014.13x = 983,586,804.79
  5. Step 5: Solve for x
    x = 983,586,804.79/23,014.13
  6. Step 6: Final answer
    x = 42,738.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.