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Finding the Third Proportional to 19,335 and 28,432.50

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Solution

The third proportional to 19,335 and 28,432.50 is: 41,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,335 : 28,432.50 = 28,432.50 : x
  2. Step 2: Convert to fraction form
    19,335/28,432.50 = 28,432.50/x
  3. Step 3: Cross multiply
    19,335x = 28,432.50 × 28,432.50
  4. Step 4: Simplify right side
    19,335x = 808,407,056.25
  5. Step 5: Solve for x
    x = 808,407,056.25/19,335
  6. Step 6: Final answer
    x = 41,810.55

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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.