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Finding the Third Proportional to 56,510.63 and 76,746.38

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Solution

The third proportional to 56,510.63 and 76,746.38 is: 104,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,510.63 : 76,746.38 = 76,746.38 : x
  2. Step 2: Convert to fraction form
    56,510.63/76,746.38 = 76,746.38/x
  3. Step 3: Cross multiply
    56,510.63x = 76,746.38 × 76,746.38
  4. Step 4: Simplify right side
    56,510.63x = 5,890,006,075.64
  5. Step 5: Solve for x
    x = 5,890,006,075.64/56,510.63
  6. Step 6: Final answer
    x = 104,228.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.