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Finding the Third Proportional to 15,332.88 and 23,075.13

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Solution

The third proportional to 15,332.88 and 23,075.13 is: 34,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,332.88 : 23,075.13 = 23,075.13 : x
  2. Step 2: Convert to fraction form
    15,332.88/23,075.13 = 23,075.13/x
  3. Step 3: Cross multiply
    15,332.88x = 23,075.13 × 23,075.13
  4. Step 4: Simplify right side
    15,332.88x = 532,461,393.77
  5. Step 5: Solve for x
    x = 532,461,393.77/15,332.88
  6. Step 6: Final answer
    x = 34,726.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.