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Finding the Third Proportional to 24,070 and 32,792

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Solution

The third proportional to 24,070 and 32,792 is: 44,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070 : 32,792 = 32,792 : x
  2. Step 2: Convert to fraction form
    24,070/32,792 = 32,792/x
  3. Step 3: Cross multiply
    24,070x = 32,792 × 32,792
  4. Step 4: Simplify right side
    24,070x = 1,075,315,264
  5. Step 5: Solve for x
    x = 1,075,315,264/24,070
  6. Step 6: Final answer
    x = 44,674.50

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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.