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Finding the Third Proportional to 21,933 and 31,258.13

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Solution

The third proportional to 21,933 and 31,258.13 is: 44,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 31,258.13 = 31,258.13 : x
  2. Step 2: Convert to fraction form
    21,933/31,258.13 = 31,258.13/x
  3. Step 3: Cross multiply
    21,933x = 31,258.13 × 31,258.13
  4. Step 4: Simplify right side
    21,933x = 977,070,378.52
  5. Step 5: Solve for x
    x = 977,070,378.52/21,933
  6. Step 6: Final answer
    x = 44,547.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.