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Finding the Third Proportional to 48,607 and 69,507

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Solution

The third proportional to 48,607 and 69,507 is: 99,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,607 : 69,507 = 69,507 : x
  2. Step 2: Convert to fraction form
    48,607/69,507 = 69,507/x
  3. Step 3: Cross multiply
    48,607x = 69,507 × 69,507
  4. Step 4: Simplify right side
    48,607x = 4,831,223,049
  5. Step 5: Solve for x
    x = 4,831,223,049/48,607
  6. Step 6: Final answer
    x = 99,393.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.