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Finding the Third Proportional to 3,152.53 and 4,637.53

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Solution

The third proportional to 3,152.53 and 4,637.53 is: 6,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.53 : 4,637.53 = 4,637.53 : x
  2. Step 2: Convert to fraction form
    3,152.53/4,637.53 = 4,637.53/x
  3. Step 3: Cross multiply
    3,152.53x = 4,637.53 × 4,637.53
  4. Step 4: Simplify right side
    3,152.53x = 21,506,696.09
  5. Step 5: Solve for x
    x = 21,506,696.09/3,152.53
  6. Step 6: Final answer
    x = 6,822.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.