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Finding the Third Proportional to 37,675.13 and 51,307.13

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Solution

The third proportional to 37,675.13 and 51,307.13 is: 69,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675.13 : 51,307.13 = 51,307.13 : x
  2. Step 2: Convert to fraction form
    37,675.13/51,307.13 = 51,307.13/x
  3. Step 3: Cross multiply
    37,675.13x = 51,307.13 × 51,307.13
  4. Step 4: Simplify right side
    37,675.13x = 2,632,421,075.77
  5. Step 5: Solve for x
    x = 2,632,421,075.77/37,675.13
  6. Step 6: Final answer
    x = 69,871.60

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Why These Related Problems?

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