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Finding the Third Proportional to 13,258.69 and 28,547.44

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Solution

The third proportional to 13,258.69 and 28,547.44 is: 61,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 28,547.44 = 28,547.44 : x
  2. Step 2: Convert to fraction form
    13,258.69/28,547.44 = 28,547.44/x
  3. Step 3: Cross multiply
    13,258.69x = 28,547.44 × 28,547.44
  4. Step 4: Simplify right side
    13,258.69x = 814,956,187.82
  5. Step 5: Solve for x
    x = 814,956,187.82/13,258.69
  6. Step 6: Final answer
    x = 61,465.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.