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Finding the Third Proportional to 24,070 and 32,789

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Solution

The third proportional to 24,070 and 32,789 is: 44,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070 : 32,789 = 32,789 : x
  2. Step 2: Convert to fraction form
    24,070/32,789 = 32,789/x
  3. Step 3: Cross multiply
    24,070x = 32,789 × 32,789
  4. Step 4: Simplify right side
    24,070x = 1,075,118,521
  5. Step 5: Solve for x
    x = 1,075,118,521/24,070
  6. Step 6: Final answer
    x = 44,666.33

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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.