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Finding the Third Proportional to 32,888 and 49,260

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Solution

The third proportional to 32,888 and 49,260 is: 73,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888 : 49,260 = 49,260 : x
  2. Step 2: Convert to fraction form
    32,888/49,260 = 49,260/x
  3. Step 3: Cross multiply
    32,888x = 49,260 × 49,260
  4. Step 4: Simplify right side
    32,888x = 2,426,547,600
  5. Step 5: Solve for x
    x = 2,426,547,600/32,888
  6. Step 6: Final answer
    x = 73,782.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.