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Finding the Third Proportional to 9,875.63 and 21,752.63

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Solution

The third proportional to 9,875.63 and 21,752.63 is: 47,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.63 : 21,752.63 = 21,752.63 : x
  2. Step 2: Convert to fraction form
    9,875.63/21,752.63 = 21,752.63/x
  3. Step 3: Cross multiply
    9,875.63x = 21,752.63 × 21,752.63
  4. Step 4: Simplify right side
    9,875.63x = 473,176,694.39
  5. Step 5: Solve for x
    x = 473,176,694.39/9,875.63
  6. Step 6: Final answer
    x = 47,913.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.