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Finding the Third Proportional to 26,075.25 and 56,307.66

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Solution

The third proportional to 26,075.25 and 56,307.66 is: 121,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,075.25 : 56,307.66 = 56,307.66 : x
  2. Step 2: Convert to fraction form
    26,075.25/56,307.66 = 56,307.66/x
  3. Step 3: Cross multiply
    26,075.25x = 56,307.66 × 56,307.66
  4. Step 4: Simplify right side
    26,075.25x = 3,170,552,152.37
  5. Step 5: Solve for x
    x = 3,170,552,152.37/26,075.25
  6. Step 6: Final answer
    x = 121,592.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.