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Finding the Third Proportional to 51,705.84 and 56,300.06

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Solution

The third proportional to 51,705.84 and 56,300.06 is: 61,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.84 : 56,300.06 = 56,300.06 : x
  2. Step 2: Convert to fraction form
    51,705.84/56,300.06 = 56,300.06/x
  3. Step 3: Cross multiply
    51,705.84x = 56,300.06 × 56,300.06
  4. Step 4: Simplify right side
    51,705.84x = 3,169,697,037.50
  5. Step 5: Solve for x
    x = 3,169,697,037.50/51,705.84
  6. Step 6: Final answer
    x = 61,302.49

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.