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Finding the Third Proportional to 22,470 and 32,368.50

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Solution

The third proportional to 22,470 and 32,368.50 is: 46,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470 : 32,368.50 = 32,368.50 : x
  2. Step 2: Convert to fraction form
    22,470/32,368.50 = 32,368.50/x
  3. Step 3: Cross multiply
    22,470x = 32,368.50 × 32,368.50
  4. Step 4: Simplify right side
    22,470x = 1,047,719,792.25
  5. Step 5: Solve for x
    x = 1,047,719,792.25/22,470
  6. Step 6: Final answer
    x = 46,627.49

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.