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Finding the Third Proportional to 51,821.65 and 70,009.63

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Solution

The third proportional to 51,821.65 and 70,009.63 is: 94,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,821.65 : 70,009.63 = 70,009.63 : x
  2. Step 2: Convert to fraction form
    51,821.65/70,009.63 = 70,009.63/x
  3. Step 3: Cross multiply
    51,821.65x = 70,009.63 × 70,009.63
  4. Step 4: Simplify right side
    51,821.65x = 4,901,348,139.59
  5. Step 5: Solve for x
    x = 4,901,348,139.59/51,821.65
  6. Step 6: Final answer
    x = 94,581.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.