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Finding the Third Proportional to 53,051.84 and 82,807.00

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Solution

The third proportional to 53,051.84 and 82,807.00 is: 129,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,051.84 : 82,807.00 = 82,807.00 : x
  2. Step 2: Convert to fraction form
    53,051.84/82,807.00 = 82,807.00/x
  3. Step 3: Cross multiply
    53,051.84x = 82,807.00 × 82,807.00
  4. Step 4: Simplify right side
    53,051.84x = 6,856,998,602.07
  5. Step 5: Solve for x
    x = 6,856,998,602.07/53,051.84
  6. Step 6: Final answer
    x = 129,250.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.