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Finding the Third Proportional to 15,985.13 and 25,075.13

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Solution

The third proportional to 15,985.13 and 25,075.13 is: 39,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.13 : 25,075.13 = 25,075.13 : x
  2. Step 2: Convert to fraction form
    15,985.13/25,075.13 = 25,075.13/x
  3. Step 3: Cross multiply
    15,985.13x = 25,075.13 × 25,075.13
  4. Step 4: Simplify right side
    15,985.13x = 628,761,893.77
  5. Step 5: Solve for x
    x = 628,761,893.77/15,985.13
  6. Step 6: Final answer
    x = 39,334.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.