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Finding the Third Proportional to 24,031 and 36,987.50

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Solution

The third proportional to 24,031 and 36,987.50 is: 56,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031 : 36,987.50 = 36,987.50 : x
  2. Step 2: Convert to fraction form
    24,031/36,987.50 = 36,987.50/x
  3. Step 3: Cross multiply
    24,031x = 36,987.50 × 36,987.50
  4. Step 4: Simplify right side
    24,031x = 1,368,075,156.25
  5. Step 5: Solve for x
    x = 1,368,075,156.25/24,031
  6. Step 6: Final answer
    x = 56,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.