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Finding the Third Proportional to 28,984 and 63,506

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Solution

The third proportional to 28,984 and 63,506 is: 139,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,984 : 63,506 = 63,506 : x
  2. Step 2: Convert to fraction form
    28,984/63,506 = 63,506/x
  3. Step 3: Cross multiply
    28,984x = 63,506 × 63,506
  4. Step 4: Simplify right side
    28,984x = 4,033,012,036
  5. Step 5: Solve for x
    x = 4,033,012,036/28,984
  6. Step 6: Final answer
    x = 139,146.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.