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Finding the Third Proportional to 10,609.13 and 23,258.53

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Solution

The third proportional to 10,609.13 and 23,258.53 is: 50,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.13 : 23,258.53 = 23,258.53 : x
  2. Step 2: Convert to fraction form
    10,609.13/23,258.53 = 23,258.53/x
  3. Step 3: Cross multiply
    10,609.13x = 23,258.53 × 23,258.53
  4. Step 4: Simplify right side
    10,609.13x = 540,959,275.91
  5. Step 5: Solve for x
    x = 540,959,275.91/10,609.13
  6. Step 6: Final answer
    x = 50,990.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.