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Finding the Third Proportional to 15,821.58 and 23,715.28

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Solution

The third proportional to 15,821.58 and 23,715.28 is: 35,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.58 : 23,715.28 = 23,715.28 : x
  2. Step 2: Convert to fraction form
    15,821.58/23,715.28 = 23,715.28/x
  3. Step 3: Cross multiply
    15,821.58x = 23,715.28 × 23,715.28
  4. Step 4: Simplify right side
    15,821.58x = 562,414,564.77
  5. Step 5: Solve for x
    x = 562,414,564.77/15,821.58
  6. Step 6: Final answer
    x = 35,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.