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Finding the Third Proportional to 2,075.63 and 2,971.69

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Solution

The third proportional to 2,075.63 and 2,971.69 is: 4,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.63 : 2,971.69 = 2,971.69 : x
  2. Step 2: Convert to fraction form
    2,075.63/2,971.69 = 2,971.69/x
  3. Step 3: Cross multiply
    2,075.63x = 2,971.69 × 2,971.69
  4. Step 4: Simplify right side
    2,075.63x = 8,830,926.60
  5. Step 5: Solve for x
    x = 8,830,926.60/2,075.63
  6. Step 6: Final answer
    x = 4,254.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.